Question 1

Match the following inequalities with the corresponding graph.
- 
A) $y \leq \frac { 1 } { 3 } x - 7$ 
B) $y \geq \frac { 1 } { 3 } x - 7$ 
C) $y \leq - \frac { 1 } { 4 } x + 9$ 
D) $y \geq - \frac { 1 } { 4 } x + 9$

Accepted Answer

The answer of Match the following inequalities with the corresponding...

Question 2

Match the following inequalities with the corresponding graph.
- 
A) $y \leq \frac { 1 } { 3 } x - 7$ 
B) $y \geq \frac { 1 } { 3 } x - 7$ 
C) $y \leq - \frac { 1 } { 4 } x + 9$ 
D) $y \geq - \frac { 1 } { 4 } x + 9$

Accepted Answer

The answer of Match the following inequalities with the corresponding...

Question 3

What inequality is illustrated below?

Accepted Answer

The answer of What inequality is illustrated below? ...

Question 4

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $$\left( \begin{array} { l } 
y > - \frac { 1 } { 3 } x - 1 \
y > - \frac { 1 } { 3 } x + 2
\end{array} \right)$$
A) 
B) 
C) 
D) 
E)

Accepted Answer

To find the solution set for the system of linear inequalities, we need to graph the two lines $y = -\frac{1}{3}x - 1$ and $y = -\frac{1}{3}x + 2$. We then need to shade the region that satisfies both inequalities.

First, we graph the line $y = -\frac{1}{3}x - 1$. This line has a $y$-intercept of $-1$ and a slope of $-\frac13$, so we can plot the $y$-intercept and then use the slope to find another point on the line.

[asy]
size(150);
import graphs;
defaultpen(linewidth(0.7));
xaxis("x");
yaxis("y");
real f(real x) {return (-1/3)*x - 1;}
draw(graph(f,-6,3),Arrows);
[/asy]

Next, we graph the line $y = -\frac{1}{3}x + 2$. This line has a $y$-intercept of $2$ and a slope of $-\frac13$, so we can again plot the $y$-intercept and use the slope to find another point.

[asy]
size(150);
import graphs;
defaultpen(linewidth(0.7));
xaxis("x");
yaxis("y");
real f(real x) {return (-1/3)*x - 1;}
real g(real x) {return (-1/3)*x + 2;}
draw(graph(f,-6,3));
draw(graph(g,-6,3),Arrows);
[/asy]

Now, we need to shade in the region that satisfies both inequalities. We see that both inequalities require $y$ be greater than the line for $y = -\frac13x + 2$. Therefore, we shade above this line.

[asy]
size(150);
import graphs;
defaultpen(linewidth(0.7));
xaxis("x");
yaxis("y");
real f(real x) {return (-1/3)*x - 1;}
real g(real x) {return (-1/3)*x + 2;}
draw(graph(f,-6,3));
draw(graph(g,-6,3),Arrows);
fill((0,2)--(3.5,0.5)--(3.5,2)--cycle,rgb(0.8,0.8,0.8));
[/asy]

Thus, the shaded region is the solution set for the system of linear inequalities. The only choice that matches this region is $\boxed{	extbf{(C)}}$.

Question 5

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $$\left( \begin{array} { l } 
y < - x + 2 \
y > - x - 2
\end{array} \right)$$
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Indicate the solution set for the system...

Question 6

Match the following inequalities with the corresponding graphs.
- 
A) $6 x + 7 y < 5$ 
B) $6 x + 7 y > 5$

Accepted Answer

The answer of Match the following inequalities with the corresponding...

Question 7

Match the following inequalities with the corresponding graph.
- 
A) $y \leq \frac { 1 } { 3 } x - 7$ 
B) $y \geq \frac { 1 } { 3 } x - 7$ 
C) $y \leq - \frac { 1 } { 4 } x + 9$ 
D) $y \geq - \frac { 1 } { 4 } x + 9$

Accepted Answer

The answer of Match the following inequalities with the corresponding...

Question 8

Match the following inequalities with the corresponding graphs.
- 
A) $6 x + 7 y < 5$ 
B) $6 x + 7 y > 5$

Accepted Answer

The graph shows the shaded region below the line $6 x + 7 y = 5$. The inequality $6 x + 7 y < 5$ represents all points below the line, so option A matches the graph. Option B represents all the points above the line, which is not the case in the given graph.

Question 9

What inequality is illustrated below?

Accepted Answer

The answer of What inequality is illustrated below? ...

Question 10

Match the following inequalities with the corresponding graph.
- 
A) $4 x - 5 y \leq 8$ 
B) $4 x - 5 y \geq 8$

Accepted Answer

The answer of Match the following inequalities with the corresponding...

Question 11

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $$\left( \begin{array} { l } 
y > x - 3 \
y < x + 1
\end{array} \right)$$
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Indicate the solution set for the system...

Question 12

Match the following inequalities with the corresponding graph.
- 
A) $4 x - 5 y \leq 8$ 
B) $4 x - 5 y \geq 8$

Accepted Answer

The graph shows a shaded area below the line 4x-5y=8, which means the inequality is "less than or equal to" (≤), matching option A.

Question 13

Match the following inequalities with the corresponding graph.
- 
A) $y \leq \frac { 1 } { 3 } x - 7$ 
B) $y \geq \frac { 1 } { 3 } x - 7$ 
C) $y \leq - \frac { 1 } { 4 } x + 9$ 
D) $y \geq - \frac { 1 } { 4 } x + 9$

Accepted Answer

The answer of Match the following inequalities with the corresponding...

Question 14

What inequality is illustrated below?

Accepted Answer

The answer of What inequality is illustrated below? ...

Question 15

What inequality is illustrated below?

Accepted Answer

The answer of What inequality is illustrated below? ...

Question 16

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $$\left( \begin{array} { l } 
y < \frac { 1 } { 2 } x + 1 \
y < \frac { 1 } { 2 } x - 3
\end{array} \right)$$
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Indicate the solution set for the system...

Quiz 5: Coordinate Geometry and Linear Systems

Match the following inequalities with the corresponding graph. - $Match the following inequalities with the corresponding graph. - A) y \leq \frac { 1 } { 3 } x - 7 B) y \geq \frac { 1 } { 3 } x - 7 C) y \leq - \frac { 1 } { 4 } x + 9 D) y \geq - \frac { 1 } { 4 } x + 9$

Match the following inequalities with the corresponding graph. - $Match the following inequalities with the corresponding graph. - A) y \leq \frac { 1 } { 3 } x - 7 B) y \geq \frac { 1 } { 3 } x - 7 C) y \leq - \frac { 1 } { 4 } x + 9 D) y \geq - \frac { 1 } { 4 } x + 9$

What inequality is illustrated below?

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { l } y > - \frac { 1 } { 3 } x - 1 \\y > - \frac { 1 } { 3 } x + 2\end{array} \right)$

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { l } y < - x + 2 \\y > - x - 2\end{array} \right)$

Match the following inequalities with the corresponding graphs. -

Match the following inequalities with the corresponding graph. - $Match the following inequalities with the corresponding graph. - A) y \leq \frac { 1 } { 3 } x - 7 B) y \geq \frac { 1 } { 3 } x - 7 C) y \leq - \frac { 1 } { 4 } x + 9 D) y \geq - \frac { 1 } { 4 } x + 9$

Match the following inequalities with the corresponding graphs. -

What inequality is illustrated below?

Match the following inequalities with the corresponding graph. - $Match the following inequalities with the corresponding graph. - A) 4 x - 5 y \leq 8 B) 4 x - 5 y \geq 8$

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { l } y > x - 3 \\y < x + 1\end{array} \right)$

Match the following inequalities with the corresponding graph. - $Match the following inequalities with the corresponding graph. - A) 4 x - 5 y \leq 8 B) 4 x - 5 y \geq 8$

Match the following inequalities with the corresponding graph. - $Match the following inequalities with the corresponding graph. - A) y \leq \frac { 1 } { 3 } x - 7 B) y \geq \frac { 1 } { 3 } x - 7 C) y \leq - \frac { 1 } { 4 } x + 9 D) y \geq - \frac { 1 } { 4 } x + 9$

What inequality is illustrated below?

What inequality is illustrated below?

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { l } y < \frac { 1 } { 2 } x + 1 \\y < \frac { 1 } { 2 } x - 3\end{array} \right)$

Quiz 5: Coordinate Geometry and Linear Systems

Match the following inequalities with the corresponding graph. -

Match the following inequalities with the corresponding graph. -

What inequality is illustrated below?

Indicate the solution set for the system of linear inequalities by shading the appropriate region. (y>−13x−1y>−13x+2) \left( \begin{array} { l } y > - \frac { 1 } { 3 } x - 1 \\y > - \frac { 1 } { 3 } x + 2\end{array} \right) (y>−31​x−1y>−31​x+2​)

Indicate the solution set for the system of linear inequalities by shading the appropriate region. (y<−x+2y>−x−2) \left( \begin{array} { l } y < - x + 2 \\y > - x - 2\end{array} \right) (y<−x+2y>−x−2​)

Match the following inequalities with the corresponding graphs. -

Match the following inequalities with the corresponding graph. -

Match the following inequalities with the corresponding graphs. -

What inequality is illustrated below?

Match the following inequalities with the corresponding graph. -

Indicate the solution set for the system of linear inequalities by shading the appropriate region. (y>x−3y<x+1) \left( \begin{array} { l } y > x - 3 \\y < x + 1\end{array} \right) (y>x−3y<x+1​)

Match the following inequalities with the corresponding graph. -

Match the following inequalities with the corresponding graph. -

What inequality is illustrated below?

What inequality is illustrated below?

Indicate the solution set for the system of linear inequalities by shading the appropriate region. (y<12x+1y<12x−3) \left( \begin{array} { l } y < \frac { 1 } { 2 } x + 1 \\y < \frac { 1 } { 2 } x - 3\end{array} \right) (y<21​x+1y<21​x−3​)

Match the following inequalities with the corresponding graph. - $Match the following inequalities with the corresponding graph. - A) y \leq \frac { 1 } { 3 } x - 7 B) y \geq \frac { 1 } { 3 } x - 7 C) y \leq - \frac { 1 } { 4 } x + 9 D) y \geq - \frac { 1 } { 4 } x + 9$

Match the following inequalities with the corresponding graph. - $Match the following inequalities with the corresponding graph. - A) y \leq \frac { 1 } { 3 } x - 7 B) y \geq \frac { 1 } { 3 } x - 7 C) y \leq - \frac { 1 } { 4 } x + 9 D) y \geq - \frac { 1 } { 4 } x + 9$

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { l } y > - \frac { 1 } { 3 } x - 1 \\y > - \frac { 1 } { 3 } x + 2\end{array} \right)$

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { l } y < - x + 2 \\y > - x - 2\end{array} \right)$

Match the following inequalities with the corresponding graph. - $Match the following inequalities with the corresponding graph. - A) y \leq \frac { 1 } { 3 } x - 7 B) y \geq \frac { 1 } { 3 } x - 7 C) y \leq - \frac { 1 } { 4 } x + 9 D) y \geq - \frac { 1 } { 4 } x + 9$

Match the following inequalities with the corresponding graph. - $Match the following inequalities with the corresponding graph. - A) 4 x - 5 y \leq 8 B) 4 x - 5 y \geq 8$

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { l } y > x - 3 \\y < x + 1\end{array} \right)$

Match the following inequalities with the corresponding graph. - $Match the following inequalities with the corresponding graph. - A) 4 x - 5 y \leq 8 B) 4 x - 5 y \geq 8$

Match the following inequalities with the corresponding graph. - $Match the following inequalities with the corresponding graph. - A) y \leq \frac { 1 } { 3 } x - 7 B) y \geq \frac { 1 } { 3 } x - 7 C) y \leq - \frac { 1 } { 4 } x + 9 D) y \geq - \frac { 1 } { 4 } x + 9$

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { l } y < \frac { 1 } { 2 } x + 1 \\y < \frac { 1 } { 2 } x - 3\end{array} \right)$