Question

Find the solution set of |2x+3|/3 -2=8

Answer 1

Answer:

2(2x+3)−10<6(x−2)

⇒4x+6−10<6x−12

⇒4x−4<6x−12

⇒−4+12<6x−4x

⇒8<2x

⇒4<x

Thus, all real numbers x, which are greater than 4, are the solution of the given inequality.

Hence, the solution set of the given inequality is )4,∞).