Solve the inequality and give the solution in interval notation.
-$5 - 3 ( 1 - x ) \leq 11$
A) $[ 3 , \infty )$
B) $( - \infty , 3 )$
C) $( - \infty , 4 ]$
D) $( - \infty , 3 ]$

Question

Quizplus · Accepted Answer

First, distribute the -3 across the (1-x): $5 - 3 + 3x \leq 11$. Simplify to get $3x \leq 9$. Divide by 3 to isolate x, resulting in $x \leq 3$. This corresponds to all numbers less than or equal to 3, which is represented by the interval notation $(-\infty, 3]$.

Solve the Inequality and Give the Solution in Interval Notation 5−3(1−x)≤115 - 3 ( 1 - x ) \leq 115−3(1−x)≤11

Solve the Inequality and Give the Solution in Interval Notation $5 - 3 ( 1 - x ) \leq 11$