Question

rezolva in multimea z inecuatiile urmatoare : a)|x-2|=3,b)|2x+1|=5,c)3[2|2x-5|-15]-12=9

Answer 1

Explicație pas cu pas:

a) |x-2|=3 => x-2=3 sau x-2=-3 =>

x=5 sau x=-1 => S€{5,-1}

b)|2x+1|=5 => 2x+1=5 sau 2x+1=-5=>

2x=4 sau 2x=-6 =>x=2 sau x=-3

S€{2,-3}

c)3(2|2x-5|-15)-12=9 => 3(2|2x-5|-15)=21 =>

2|2x-5|-15=7=> 2|2x-5|=22 => |2x-5|=11 =>

2x-5=11 sau 2x-5=-11 => 2x=16 sau 2x=-6 => x=8 sau x=-3 => S€{8,-3}