Question

ПРОШУ ПОМОГИТЕ; ДАЮ 100 БАЛЛОВ!

Answer 1

Ответ:

1 неравенство:

${9}^{3x - 2} \geq( \frac{1}{27}) {}^{2x - 3}$

${3}^{6x - 4} \geq {3}^{ - 6x + 9}$

$6x - 4 \geq - 6x + 9$

$6x + 6x \geq9 + 4$

$12x \geq13$

$x \geq \frac{13}{12}$

2 неравенство:

$( \frac{1}{8}) {}^{2x + 3} \geq {4}^{x - 1}$

${2}^{ - 6x - 9} \geq {2}^{2x - 2}$

$- 6x - 9 \geq2x - 2$

$- 6x - 2x \geq - 2 + 9$

$- 8x \geq7$

$x \leq - \frac{7}{8}$

3 неравенство:

$\sqrt[4]{7 {}^{x + 1} } \leq \frac{49}{ \sqrt{7} }$

$\sqrt[4]{7 {}^{x + 1} } \leq 7\sqrt{7}$

${7}^{x + 1} \leq2401 \times 49$

${7}^{x + 1} \leq {7}^{6}$

$x + 1 \leq6$

$x \leq6 - 1$

$x \leq5$