Question

Inequações (0,3) (elevado a 4x-5) > ( 0,3) ( elevado 2x+1)

Answer 1

Olá,

$(0,3)^{4x-5}>(0,3)^{2x+1}~(n^o~fracionario, ~troque~o ~sinal\\\\da~desigualdade)\\\\\left(\not \dfrac{3}{10}\right)^{4x-5}<\left( \not\dfrac{3}{10}\right)^{2x+1}\\\\\\4x-5<2x+1\\4x-2x<1+5\\2x<6\\\\x< \dfrac{6}{2}\\\\x<3\\\\\\\Large\boxed{\text{S}=\left\{\text{x} \in\mathbb{R}~|~\text{x}<3\right\}}$
Tenha ótimos estudos ;P

Answer 2

    4x - 5         2x - 1
0,3          > 0,3                     simplifique as bases que são iguias

4x - 5 > 2x - 1
4x - 2x > - 1 + 5
2x > 4
x > 4/2
x > 2                        S = { x ∈ R | x > 2 }