Question

INEQUACOES
1) 3ˆ2x+3 > 243

2) 56(2)ˆ3x < 7

Answer 1

1)
$3^{2x+3} \ \textgreater \ 243$

$3^{2x+3} \ \textgreater \ 3^{5}$

$2x+3\ \textgreater \ 5$

$2x\ \textgreater \ 2$

$x\ \textgreater \ 1$

S={x∈R;x>1}

2)
$56. 2^{3x} \ \textless \ 7$

$8. 2^{3x} \ \textless \ 1$

$2^{3x} \ \textless \ \frac{1}{8}$

$2^{3x} \ \textless \ 2^{-3}$

$3x\ \textless \ -3$

$x\ \textless \ -1$

s={x∈R;x<-1}