Question

14. Resolva as inequações, sendo U= Q.
e) (x + 4) - (x-7) ≥2x - 3
b) 4(1 - x) + 3 ≤2(2x - 4)
d) 3(x + 5) - 2(1 – 3x)≥ 4 (1 + x) - 2
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Answer 1

b)

4 (1 - x) + 3 ≤ 2 (2x - 4)

4 - 4x + 3 ≤ 4x - 8

- 13x ≤ - 15

13x ≥ 15

$x \geqslant \frac{15}{13}$

d)

3 (x + 5) - 2 (1 - 3x) ≥ 4 (1 + x) - 2

3x + 15 - 2 + 6x ≥ 4 + 4x - 2

5x ≥ - 11

$x \geqslant - \frac{11}{5}$

e)

x + 4 - x - 4 ≥ 2x - 3

- 2x ≥ 0

2x ≤ 0

x ≤ 0