Solve the compound inequality. Write the solution in interval notation.
-$- 5 \leq - 2 x + 5 \leq - 3$
A)(4, 5)
B)[-5, -4]
C)[4, 5]
D)(-5, -4)

Question

Quizplus · Accepted Answer

First, solve the compound inequality $-5 \leq -2x + 5 \leq -3$ by subtracting 5 from all parts, resulting in $-10 \leq -2x \leq -8$. Then, divide by -2 (remember to flip the inequality signs), getting $5 \geq x \geq 4$, which translates to the interval notation $[4, 5]$.

Solve the Compound Inequality −5≤−2x+5≤−3- 5 \leq - 2 x + 5 \leq - 3−5≤−2x+5≤−3

Solve the Compound Inequality $- 5 \leq - 2 x + 5 \leq - 3$