Question

3(4x-7)-(4x-9)≤7x-11

-2(x-5)-1≤3x+7(1-x)

3(x-3)+5(1-x)>2(2x-7)

Answer 1

3(4x - 7) - (4x - 9) =< 7x - 11
12x - 21 - 4x - 9 =< 7x - 11
12x - 4x - 7x =< - 11 + 21 + 9
12x - 11x =< -11 + 30
x =< 19

Sol: ]-oo ; 19]

-2(x - 5) - 1 =< 3x + 7 (1 - x)
-2x + 10 - 1 =< 3x + 7 - 7x
-2x + 7x - 3x =< 7 - 10 + 1
-5x + 7x =< 8 - 10
2x =< -2
x =< -2/2
x =< -1

Sol: ]-oo; -1]

3(x - 3) + 5(1 - x) > 2 (2x - 7)
3x - 9 + 5 - 5x > 4x - 14
3x - 5x - 4x > -14 + 9 - 5
3x - 9x > -19 + 9
-6x > -10
6x > 10
x > 10/6

Sol: ]10/6 ; +oo [