Find all numbers X satisfying the given equation 2x 3 12 E

Find all numbers X satisfying the given equation. |2x - 3| = 12 Enter the exact answers in increasing order. X =

Solution

Solution :We have two case

1)When 2x-3>=0, then

2x-3=12

Or. 2x=12+3

Or. 2x=15

or. x=15/2

or. x=7.5

2) When 2x-3<0, then

-(2x-3)=12

2x-3=-12

2x=-12+3

2x=-9

x=-9/2

x=-4.5

Hence x=-4.5 and 7.5. Ans