Question

Exercício 2: encontre a solução das inequações

Answer 1

Resposta:

$a) \: 2x - 2 < x \\ 2x < x + 2 \\ 2x - x < 2 \\ x < 2$

$b) \: 6x + 12 \geqslant 4 - 10x \\ 6x + 12 + 10x \geqslant 4 \\ 6x + 10x \geqslant 4 - 12 \\ 16x \geqslant - 8 \\ \\ x \geqslant - \frac{8 \div (8)}{16 \div (8)} \\ \\ x \geqslant - \frac{1}{2}$

$c) \: 8 - 5x \leqslant 7x + 5 \\ 8 - 5x - 7x \leqslant 5 \\ - 5x - 7x \leqslant 5 - 8 \\ - 12x \leqslant - 3 \div ( - 12) \\ \\ x \geqslant \frac{1}{4}$

$d) \: - 3 \times ( x + 2) - x > 18 \\ - 3x - 6 - x > 18 \\ - 4x - 6 > 18 \\ - 4x > 18 + 6 \\ - 4x > 24 \div ( - 4) \\ x < - 6$