Write the solution set using interval notation.
-$3 ( 4 x - 4 ) - 12 \leq 5 x - 3$
A) $( - \infty , 3 )$
B) $( - \infty , 3 ]$
C) $[ - 3 , \infty )$
D) $( - 3 , \infty )$

Question

Quizplus · Accepted Answer

First, simplify and solve the inequality: $3(4x - 4) - 12 \leq 5x - 3$, which simplifies to $12x - 12 - 12 \leq 5x - 3$, then to $12x - 24 \leq 5x - 3$. Subtracting $5x$ from both sides gives $7x - 24 \leq -3$, and adding $24$ to both sides gives $7x \leq 21$. Dividing by $7$ gives $x \leq 3$, which in interval notation is $(-\infty, 3]$.

Write the Solution Set Using Interval Notation 3(4x−4)−12≤5x−33 ( 4 x - 4 ) - 12 \leq 5 x - 33(4x−4)−12≤5x−3

Write the Solution Set Using Interval Notation $3 ( 4 x - 4 ) - 12 \leq 5 x - 3$