Question

Solve for x, the inequality given below.

4x + 3 ≥ 2x + 17, 3x – 5 < –2

Answer 1

4x + 3 ≥ 2x + 17

⇒ 4x – 2x ≥ 17 – 3

⇒ 2x ≥ 14

⇒ x ≥ 7  ......(i)

Also,

3x – 5 < –2

⇒ 3x < 3

⇒ x < 1  .....(ii)

Since, equations (i) and (ii) cannot be possible, simultaneously We conclude that x has no solution.