Find the values of x that satisfy the inequalities 1 6 Solut

Find the values of x that satisfy the inequalities (1) -6

Solution

1) -6<x-2<4

Add 2 on all sides

=> -4<x<6

Hece, x = (-4,6)

2) (x+3)(x-5) =<0

= x=<5 or x=> -3

Hence x= (-3,5)

3) (2x-4)(x+2) >= 0

= x >= 2 or x <= -2

= x = (minus infinity , -2) U (2 , infinity)