Question

Resolva em R cada inequação: 15x+8> - 4
6x-14>=3x + 5
6x-4>=13x + 5:

Answer 1

Resposta:

1) $S=\{x\,\in\,\mathbb{R}\,|\,x>-\frac{4}{5}\}$

2) $S=\{x\,\in\,\mathbb{R}\,|\,x≥\frac{19}{3}\}$

3) $S=\{x\,\in\,\mathbb{R}\,|\,x≤-\frac{9}{7}\}$

Explicação passo-a-passo:

1)

$15x + 8 > - 4 \\ 15x > - 4 - 8 \\ 15x > - 12 \\ x > - \frac{12}{15} \\ x > - \frac{4}{5}$

2)

$6x - 14 \geqslant 3x + 5 \\ 6x - 3x \geqslant 5 + 14 \\ 3x \geqslant 19 \\ x \geqslant \frac{19}{3}$

3)

$6x - 4 \geqslant 13x + 5 \\ 6x - 13x \geqslant 5 + 4 \\ - 7x \geqslant 9 \\ 7x \leqslant - 9 \\ x \leqslant - \frac{9}{7}$