Solve the compound inequality. Give the answer in interval notation.
-$- 21 \leq - 5 x + 4 \leq - 6$
A) (2,5)
B) [-5,-2]
C) (-5,-2)
D) [2,5]

Question

Solve the compound inequality. Give the answer in interval notation.
-$- 21 \leq - 5 x + 4 \leq - 6$
A)  (2,5) 
B)  [-5,-2] 
C)  (-5,-2) 
D)  [2,5]

Quizplus · Accepted Answer

To solve the compound inequality $-21 \leq -5x + 4 \leq -6$, we solve each part separately:1. For the left part: $-21 \leq -5x + 4$   $-25 \leq -5x$   $5 \geq x$ or $x \leq 5$2. For the right part: $-5x + 4 \leq -6$   $-5x \leq -10$   $x \geq 2$Combining both parts, we get $2 \leq x \leq 5$, which in interval notation is $[2, 5]$.

Solve the Compound Inequality −21≤−5x+4≤−6- 21 \leq - 5 x + 4 \leq - 6−21≤−5x+4≤−6

Solve the Compound Inequality $- 21 \leq - 5 x + 4 \leq - 6$