Solve the inequality. Write your answer using interval notation. −8 < 7 − 5x ≤ 127

Question

Solve the inequality. Write your answer using interval notation.
−8 < 7 − 5x ≤ 127

Answer 1

−8 < 7 − 5x ≤ 127 first subtract 7 from all three parts: -15 ≤ -5x ≤ 120 now divide all three parts by -5 (which reverses inequality symbols): 3 >= x >= -24 So x lies between -24 and 3, inclusively; interval notation is [-24,3]