Solve Linear Inequalities
Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set
on a number line.
-$\mathrm { y } _ { 1 } = 8 \mathrm { x } - 1$, $\mathrm { y } _ { 2 } = 7 \mathrm { x } - 5$, and $\mathrm { y } _ { 1 } \mathrm { y } _ { 2 }$.
A) $( - 4 , \infty )$
B) $( - \infty , - 4 ]$
C) $( - 6 , \infty )$
D) $[ - 4 , \infty )$

Question

Solve Linear Inequalities
Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set
on a number line.
-$\mathrm { y } _ { 1 } = 8 \mathrm { x } - 1$, $\mathrm { y } _ { 2 } = 7 \mathrm { x } - 5$, and $\mathrm { y } _ { 1 } > \mathrm { y } _ { 2 }$.
A) $( - 4 , \infty )$
B) $( - \infty , - 4 ]$
C) $( - 6 , \infty )$
D) $[ - 4 , \infty )$

Quizplus · Accepted Answer

To solve the inequality $y_1 > y_2$, substitute the given expressions for $y_1$ and $y_2$: $8x - 1 > 7x - 5$. Solving this inequality for $x$ gives $x > -4$, which is represented by the interval notation $(-4, \infty)$.

Solve Linear Inequalities Solve the Linear Inequality y1=8x−1\mathrm { y } _ { 1 } = 8 \mathrm { x } - 1y1​=8x−1

Solve Linear Inequalities
Solve the Linear Inequality $\mathrm { y } _ { 1 } = 8 \mathrm { x } - 1$