Question

Como resolver as inequações:
a) 4×>7

b) 3√x>4

Answer 1

Explicação passo-a-passo:

Inequačão :

$\sf{ 4x > 7 }$

$\iff \sf{ x > \dfrac{7}{4} }$

$\pink{ \sf{ Sol: x \in ] \dfrac{7}{4}~;~+\infty [ \longleftarrow Resposta } }$

$\sf{ b)~ 3\sqrt{x} > 4 }$

$\iff \sf{ \sqrt{x} > \dfrac{4}{3} }$

$\iff \sf{ x > \left( \dfrac{4}{3} \right)^2 }$

$\iff \sf{ x > \dfrac{16}{9} }$

$\green{ \sf{ Sol: x \in ] \dfrac{16}{9}~;~+\infty[ \longleftarrow Resposta } }$

Answer 2

Oie, Td Bom?!

a)

$4x > 7$

$x > \frac{7}{4}$

$S = \left \{x ∈ | \frac{7}{4} \: , \: + ∞ \right \}$

b)

$3 \sqrt{x} > 4$

$\sqrt{x} > \frac{4}{3}$

$\sqrt{x} {}^{2} > ( \frac{4}{3} ) {}^{2}$

$x > \frac{16}{9}$

$S = \left \{x ∈ | \frac{16}{9} \:, \: + ∞ \right \}$

Att. Makaveli1996