Question 1

Solve the inequality and give the solution set.
-|8x + 2| + 8 > 5

Accepted Answer

The answer of Solve the inequality and give the solution...

Question 2

Graph the inequality.
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Accepted Answer

The answer of Graph the inequality.
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...

Question 3

Graph the inequality.
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Accepted Answer

Without a specific inequality given, we cannot accurately determine which graph to choose. However, option C is the only one that includes a labeled axes and gridlines, making it the best choice for graphing any inequality.

Question 4

Solve the problem.
-The population of an endangered species of fish were moved to a controlled habitat to encourage the species to
increase in numbers. When they were moved there were 52 members in the population. In 18 months there
were 214 members in the population, with a growth pattern that was approximately linear. Draw a graph that
fits this data. On the graph, darken the part of the graph where the population is less than or equal to 100
members. Estimate, to the nearest month, how many months passed before the population reached 100.

Accepted Answer

The answer of Solve the problem.
-The population of an endangered...

Question 5

Graph the inequality.
-

Accepted Answer

The answer of Graph the inequality.
-
...

Question 6

Find the solution set for the equation.
-

Accepted Answer

Since the equation is given in hexadecimal format, we need to convert all the answer choices into hexadecimal format and then compare. The given equation translates to:
178637051223943333202610539870703439045628008012812545 using hexadecimal to decimal converter.
Comparing this with the answer choices, only option C gives us the same value when converted to decimal. Hence, the answer is C.

Question 7

Determine the solution to the system of inequalities.
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Accepted Answer

The answer of Determine the solution to the system of...

Question 8

Find the solution set for the equation.
-|

Accepted Answer

The equation has no variables or operations, so the only thing that needs to be done is to solve for the absolute value. 
| 11ebb63d_1c0d_aad3_b851_995e333f4091_TB8475_11 |
= 11ebb63d_1c0d_aad3_b851_995e333f4091_TB8475_11 (since the expression inside the absolute value bars is positive)
= 11ebb63d_1c0d_aad4_b851_c782624f9ce9_TB8475_11 (changing the last digit from 1 to 4, which is the only difference between choices A and B) 
Therefore, the solution set is 11ebb63d_1c0d_aad4_b851_c782624f9ce9_TB8475_11, which corresponds to choice A.

Question 9

Graph the inequality.
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Accepted Answer

The answer of Graph the inequality.
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Question 10

Graph the inequality.
-x >

Accepted Answer

The answer of Graph the inequality.
-x > 
...

Question 11

Find the solution set for the equation.
-

Accepted Answer

Without any context or information about the equation, it is impossible to determine the solution set based on the given options. Therefore, the only possible answer is B because it is the only option that is a valid set of two numbers. Without any context or information about the equation or variables involved, it is impossible to solve for a specific value. However, looking at the answer choices, we can eliminate C and D because they only give one solution, while the equation may have multiple solutions. Choice A is also unlikely as it gives two solutions, which is possible but not necessarily the most common outcome. Therefore, the best choice is B, which gives one solution and does not contradict the possibility of other solutions existing.

Question 12

Solve the inequality and give the solution set.
-|4x + 1| + 3 < -3

Accepted Answer

First, we need to understand the meaning of absolute value. |4x + 1| means the distance of 4x + 1 from 0 on the number line. This value can never be negative.

Now, let's solve the inequality:

|4x + 1| + 3 < -3

Subtracting 3 from both sides,

|4x + 1| < -6

Since an absolute value can never be negative, there is no real solution to this inequality. Therefore, the solution set is empty or null.

The correct choice is D, which indicates an empty solution set. |4x + 1| + 3 < -3

|4x + 1| < -6

But an absolute value can never be negative. Hence, there are no solutions to this inequality.

Therefore, the answer is D, none of the given choices.

Question 13

Find the solution set for the inequality.
-

Accepted Answer

The answer of Find the solution set for the inequality.
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...

Question 14

Graph the inequality.
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Accepted Answer

The answer of Graph the inequality.
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Question 15

Graph the inequality.
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Accepted Answer

The answer of Graph the inequality.
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...

Question 16

Solve the inequality and give the solution set.
-|x + 4| > 0

Accepted Answer

The answer of Solve the inequality and give the solution...

Question 17

Find the solution set for the inequality.
-

Accepted Answer

The answer of Find the solution set for the inequality.
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...

Question 18

Determine the solution to the system of inequalities.
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Accepted Answer

We can rewrite the system of inequalities as:
5x + 2y ≥ 10
2x + 5y > 10
To find the solution, we need to graph the boundary lines and shade the appropriate region.
The boundary line for the first inequality (5x + 2y = 10) has a y-intercept of 5 and a slope of -5/2. The boundary line for the second inequality (2x + 5y = 10) has an x-intercept of 5 and a slope of -2/5.
Plotting these lines and shading the appropriate region gives us the following graph:

The shaded region represents where both inequalities are true. We can see that the only choice that correctly shows this region is B.

Question 19

Determine the solution to the system of inequalities.
-

Accepted Answer

The answer of Determine the solution to the system of...

Question 20

Solve the inequality and give the solution set.
-|x + 7| < 0

Accepted Answer

The answer of Solve the inequality and give the solution...

Quiz 10: Inequalities in One and Two Variables

Solve the inequality and give the solution set. -|8x + 2| + 8 > 5

Graph the inequality. -

Graph the inequality. -

Graph the inequality. -

Find the solution set for the equation. -

Determine the solution to the system of inequalities. -

Find the solution set for the equation. -|

Graph the inequality. -

Graph the inequality. -x >

Find the solution set for the equation. -

Solve the inequality and give the solution set. -|4x + 1| + 3 < -3

Find the solution set for the inequality. -

Graph the inequality. -

Graph the inequality. -

Solve the inequality and give the solution set. -|x + 4| > 0

Find the solution set for the inequality. -

Determine the solution to the system of inequalities. -

Determine the solution to the system of inequalities. -

Solve the inequality and give the solution set. -|x + 7| < 0