Решите неравенства: 1) 2)

Question

Решите неравенства:
1)
2)

Answer 1

1
x>0
lg2x>lg49+lg10
lg2x>lg490
2x>490
x>245
x∈(245;∞)
2
x²-13x+30>0
x1+x2=13 U x1*x2=30⇒x1=3 U x2=10
x<3 U x>10
x²-13x+30<8<br>x²-13x+22<0<br>x1+x2=13 U x1*x2=22⇒x1=2 U x1=11
2x∈(2;3) U (10;11)