Question

resolva em r as inequações a seguir a) 2²x-¹ > 2^x+¹ b) (0,1)^2x+8 c) (7/4)^x²-1 <(7/4)³

Answer 1

a) $2^{2x-1} \ \textgreater \ 2^{x+1} \\ 2x-1 \ \textgreater \ x+1 \\ x\ \textgreater \ 2$

b) $(0,1)^{2x+8}$

c) $(\frac{7}{4})^{ x^{2}-1 } \ \textless \ (\frac{7}{4}) ^{3} \\ x^{2}-1 \ \textless \ 3 \\ x^{2}\ \textless \ 4 \\ -2 \ \textless \ x \ \textless \ 2$