Question

Ajutatima cu ecuatile: l3x+2l+l2x-3l<11
l7x+5l-2x>11

Answer 1

 l3x+2l+l2x-3l<11

3x+2+2x-3<11 , 3x+2≥0,2x-3≥0
-(3x+2)+2x-3<11,3x+2<0,2x-3≥0
3x+2_(2x-3)<11,3x+2≥0,2x-3<0
-(3x+2)-(2x-3)<0,3x+2<0,2x-3<0

x<12/5, x≥-2/3, x≥3/2
x<-16,x<-2/3, x≥3/2
x>6,x≥-2/3,x<3/2
x>-2, x<-2/3, x<3/2


x<3/2, x∈(3/2,+∞)
x>-16, x ∈ Ø
x <6 , x∈ (-2/3,3/2)
x>2, x ∈ (-∞,-2/3)

x ∈ (-2,12/5)



l7x+5l-2x>11

7x+5-2x>11,7x+5≥0
-(7x+5)-2x>11,7x+5<0

x >6/5 , x≥5/7
x<-16/9,x<-5/7

x∈(6/5,+∞)
x∈(-∞,-16/9)

x∈(-∞,-16/9)∪(6/5,+∞)