Question

С 1-5 решите неравенства.

Answer 1

1)x²+2x-3≤0
x²+3x-x-3≤0
x(x+3)-(x+3)≤0
(x+3)(x-1)≤0

+++[-3]-----[1]+++
x∈[-3;1]

2)x²-6x>0
x(x-6)>0

++++(0)-----(6)+++
x∈(-∞;0)U(6;+∞)

3)x²-9≥0
(x-3)(x+3)≥0

+++[-3]-----[3]++++
x∈(-∞;-3]U[3;+∞)

4)5x²-10<0
5(x²-2)<0
(x-√2)(x+√2)<0

+++++(-√2)-------(√2)+++++

x∈(-√2;√2)

5)-x²-0.2x>0
x²+0.2x<0
x(x+0.2)<0

++++(-0.2)-----(0)++++

x∈(-0.2;0)