Question

Questão 2 apenas obs: com resolução

Answer 1

Qualquer coisa pergunta ae

Answer 2

Simples! Como as bases já estão igualadas, apenas as elimine e resolva os expoentes.


$a)~~~~\not7^{3x-1} \ \textless \ \not7^{x+1}\to~~~~3x-1\ \textless \ x+1\to\\\\3x-x\ \textless \ 1+1\to~~~~2x\ \textless \ 2\to~~~~x\ \textless \ \dfrac{2}{2} \to~~~~ \underline{x\ \textless \ 1}\\\\\\S = \{x \epsilon \mathbb{R}~| ~x\ \textless \ 1\}$




$b)~~~~ \left( \dfrac{1}{2} \right)}^{x^2+1} \geq \left( \dfrac{1}{2} \right)}^{2}\to~~~~ x^2+1 \geq 2\to~~~~x^2 \geq 2-1\to\\\\ x^2 \geq 1\to~~~~x \geq \pm \sqrt{1} \to~~~~ \underline{x \geq \pm 1}\\\\\\S = \{x \epsilon \mathbb{R}~| ~-1 \leq x \leq 1 \}$