Question

Найдите множество решений системы неравенств "система":√x^2-7>3; |2-3x|≤13

Answer 1

{√(x²-7)>3⇒x²-7>9⇒(x²-16)>0⇒(x-4)(x+4)>0⇒x<-4 U x>4
{|2-3x|≤13⇒-13≤2-3x≤13⇒-15≤-3x≤11⇒-3 2/3≤x≤5
\\\\\\\\\\\\\\                                       /////////////////////////////////
----------(-4)-------[3 2/3]-------------(4)---------[5]------------
                          \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
x∈(4;5]