Question:
Solve for x, the inequalities in 4x + 3 ≥ 2x + 17, 3x – 5 < – 2.
Solution:
According to the question,
4x + 3 ≥ 2x + 17
⇒ 4x – 2x ≥ 17 – 3
⇒ 2x ≥ 14
⇒ x ≥ 7 …(i)
Also,
3x – 5 < – 2
⇒ 3x < 3
⇒ x < 1 …(2)
Since, equations [i] and [ii] cannot be possible simultaneously,
We conclude that x has no solution.