Solve the inequality and express the solution set using interval notation. $4 ( x - 6 ) \leq - 8 ( x + 6 )$
A) $( - \infty , - 2 )$
B) $( - 2 , + \infty )$
C) $( - \infty , - 2 ]$
D) $[ - 2 , + \infty )$

Question

Quizplus · Accepted Answer

First, distribute the numbers through the parentheses: $4x - 24 \leq -8x - 48$. Then, add $8x$ to both sides and add $48$ to both sides to get $12x \leq 24$. Dividing both sides by $12$ gives $x \leq 2$, which is represented by the interval notation $(-\infty, -2]$.

Solve the Inequality and Express the Solution Set Using Interval 4(x−6)≤−8(x+6)4 ( x - 6 ) \leq - 8 ( x + 6 )4(x−6)≤−8(x+6)

Solve the Inequality and Express the Solution Set Using Interval $4 ( x - 6 ) \leq - 8 ( x + 6 )$