Question

Resolva as seguintes inequações:

a) 2x + 1 < x − 4.

b) 3x − 4 ≥ 3 − x.

c) 4(x − 2) + 3(4 − 2x) ≤ x − 5(x + 1).

Answer 1

a) 2x + 1 < x - 4

2x - x < -4 - 1

x < -5

b) 3x - 4 ≥ 3 - x

3x + x ≥ 3 + 4

4x ≥ 7

x ≥ 7/4 = 1,75

c) 4(x - 2) + 3(4 - 2x) ≤ x - 5(x + 1)

4x - 8 + 12 - 6x ≤ x - 5x - 5

-2x + 4 ≤ -4x - 5

-2x + 4x ≤ -5 - 4

2x ≤ -9

x ≤ - 9/2 = - 4,5