Question

Salve cidadãos me ajuda na D e na E por gentileza

Answer 1

d) 7x - 6 (x - 12) < 12x - 16
    7x - 6x - 72 < 12x - 16
    1x - 72 < 12x - 16
    12x - 16 > 1x - 72
    12x - 1x > 72 - 16
    11x > -88        .(-1)
    11x > 88
    x > 88/11
    x > 8
Acho que é assim, espero ter ajudado.

Answer 2

$D)~~7x-6(x-12)\ \textless \ 12x-16\to\\\\ 7x-6x+72\ \textless \ 12x-16\to\\\\ 7x-6x-12x\ \textless \ -16-72\to\\\\ -11x\ \textless \ -88~(-1)\to\\\\11x\ \textgreater \ 88\to\\\\ x\ \textgreater \ \dfrac{88}{11} \to\\\\ x\ \textgreater \ 8\\\\\\ \boxed{\boxed{S = \{x \epsilon \mathbb{R} \ | \ x\ \textgreater \ 8\}}}$




$E)~~ \dfrac{1}{3} x+1 \geq 2x\to~~mmc=3\\\\x+3 \geq 6x\to\\\\ x-6x \geq 33\to\\\\ -5x \geq -3~(-1)\to\\\\ 5x \leq 3\to\\\\ x \leq \dfrac{5}{3} \\\\\\ \boxed{\boxed{S = \left\{x \epsilon \mathbb{R} \ | \ x \leq \dfrac{5}{3} \right\}}}$