Solve the compound inequality. Give the answer in interval notation.
-$11 \leq 3 x + 5 \leq 20$
A) [-5,-2]
B) (2,5)
C) (-5,-2)
D) [2,5]

Question

Solve the compound inequality. Give the answer in interval notation.
-$11 \leq 3 x + 5 \leq 20$
A)  [-5,-2] 
B)  (2,5) 
C)  (-5,-2) 
D)  [2,5]

Quizplus · Accepted Answer

First, solve the compound inequality $11 \leq 3x + 5 \leq 20$ by subtracting 5 from all parts, resulting in $6 \leq 3x \leq 15$. Then, divide all parts by 3 to get $2 \leq x \leq 5$, which in interval notation is $[2, 5]$.

Solve the Compound Inequality 11≤3x+5≤2011 \leq 3 x + 5 \leq 2011≤3x+5≤20

Solve the Compound Inequality $11 \leq 3 x + 5 \leq 20$