Question

02) Resolva, no conjunto dos números reais, as inequações:
a) 8x – 10 > 2x + 8 b) 2(3x +7) < – 4x + 8 c) 20 – (2x +5) ≤ 11 + 8x

Answer 1

Resposta:

a) 8x – 10 > 2x + 8

8x-2x > 8+10

6x > 18

x > 18/6

x > 3

b) 2(3x +7) < – 4x + 8

6x+14 < -4x+8

6x+4x < 8 -14

10x < -6

x < -6/10

x < -0,6

c) 20 – (2x +5) ≤ 11 + 8x

20-2x-5 ≤ 11+8x

-2x-8x ≤ 11 +5 -20

-10x ≤ 16-20

-10x ≤ -4

x ≤ -4/-10

x (>/=) 0,4