Question

resolva as inequações:
a) 2x > 10
b) -3x< 12
c) 2x+1 ≥ cx-5
d) 3 (x-4) ≤2 ( x-6)
e) 4(2x-3) > 2(x-1) ​

Answer 1

a)

$2x > 10 \\ x > \frac{10}{2} \\ x > 5$

S = { x € R / x > 5}

B)

$- 3x < 12 \times ( - 1) \\ 3x > 12 \\ x > \frac{12}{3} \\ x > 4$

S = { x € R / x > 4}

c)

$2x + 1 \geqslant x - 5 \\ 2 x - x \geqslant - 5 - 1 \\ x \geqslant - 6$

S = { x € R / X ≥ -6}

d)

$3(x - 4) \leqslant 2(x - 6) \\ 3x - 12 \leqslant 2x - 12 \\ 3x - 2x \leqslant 0 \\ x \leqslant 0$

S = { x € R / x ≤ 0 }

e)

$4(2x - 3) > 2(x - 1) \\ 8x - 12 > 2x - 2 \\ 8x - 2x > - 2 + 12 \\ 6x > 10 \\ \\ x > \frac{10}{6} \\ \\ x > \frac{5}{3} \\ \\ x > 1.66666....$

S = { x € R / x > 5/3 }