1) 3*(x-5) / 2 ≥ 3√5
x-5/2 ≥ √5
x-5 ≥ 2√5
x ≥ 2√5 + 5.
2) (2/3)^x^2+5x > 1
(2/3)^x^2+5x > (2/3)^0
x^2 + 5x < 0
x*(x+5) < 0
Система неравенств:
0} \atop {x<-5}} \right." alt="\left \{ {{x>0} \atop {x<-5}} \right." align="absmiddle" class="latex-formula">
x Є (-5;0)
3)
\frac{1}{3}^{x}" alt="\frac{1}{3} ^{\sqrt{x+2} } > \frac{1}{3}^{x}" align="absmiddle" class="latex-formula"> , x≥-2;
x≥0;
x<0;</p>
x Є (2; +бесконечность)
x>2.