1
x>3
x∈(3;∞)
2
2x-1>-4
2x>-3
x>-1,5
x∈(-1,5;∞)
3
2x-3<5-2x<br>4x<8<br>x<2<br>x∈(-∞;2)
5
{4-3x>0⇒x<4/3<br>{4-3x<10⇒3x>-6⇒x>-2
x∈(-2;4/3)
6
3x²-7>0⇔x<-√21/3 U x>√21/3
3x-7>0⇒x>7/3
x∈(7/3;∞)
lg[(3x²-7)/(3x-7)]>1
(3x²-7)/(3x-7)>10
(3x²-7-30x+70)/(3x-7)>0
(3x²-30x+63)/(3x-7)>0
3(x²-10x+21)/(3x-7)>0
x1+x2=10 U x1*x2=21⇒x1=3 U x2=7
3x-7=0⇒x=7/3
_ + _ +
----------(7/3)---------(3)--------(7)----------
x∈(7/3;3) U (7;∞)
7
x>0
(log(3)x-2)(log(3)x+4)>0
+ _ +
------------(-2)----------(2)-----------
log(3)x<-2⇒x<1/9<br>log(3)x>2⇒x>9
x∈(0;1/9) U (9;∞)