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2×[3|2x-3|-8]-9<5
29-3|2x-7|>-4 ---> x € Z*
4(3x+8)+6|2x+3|+5<5(2x-3)+2x+94


Răspuns :

Explicație pas cu pas:

2*[3|2x-3|-8]-9<5 =>

2*[3|2x-3|-8]<14 => 3|2x-3|-8<7 =>

3|2x-3|<15 => |2x-3|<15 => -15<2x-3<15 =>

-12<2x<18 => -6<x<9

29-3|2x-7|>-4 => -3|2x-7|>-33 /×(-1) =>

3|2x-7|<33 => |2x-7|<11 =>

-11<2x-7<11 => -4<2x<18 =>

-2<x<9 => x€{-1,1,2,3,4,5,6,7,8}

4(3x+8)+6|2x+3|+5<5(2x-3)+2x+94=>

12x+32+6|2x+3|+5<10x-15+2x+94=>

37+6|2x+3|<79 =>

6|2x+3|<42 => |2x+3|<7