You have two possibilities.
2x - 3 = 11 or -(2x - 3) = 11
2x - 3 = 11
2x = 14
x = 7
-(2x - 3) = 11
-2x + 3 = 11
-2x = 8
x = -4
x = -4 or x = 7
|2x – 3| = 11
2x - 3 can be 11 or - 11
2x - 3 = - 11
2x = - 8
x = - 4
2x - 3 = 11 or 2x - 3 = - 11
First we solve 2x - 3 = 11
=> 2x = 11 + 3
= x = 14/2
= [ x = 7 ] -------------------- (1)
Now solve 2x - 3 = - 11
2x = - 11 + 3
x = - 8/2
[ x = - 4 ] ------------------ (2)
By 1 & 2 the solution set is (7, - 4)
|2x-3| = 11
2x - 3 = 11, 2x - 3 = -11
x = 7, x = -4
|2x-3|=11
2x-3=11
2x=14
x=7
-----------
-(2x-3)=11
-2x+3=11
2x=-8
x=-4
x=7 and x=-4 are the solutions
7 and - 4
|2*7 -3| = 11
|2* (-4) - 3| = 11
A slightly different way is to eliminate thhe absolute function by squaring hence:
(2x - 3)^2 = 121
4x^2 - 12x - 112 = 0
x^2 - 3x - 28 = 0
(x - 7)(x + 4) = 0
x = 7 or x = -4
-4 and 7
|2x-3|=11<=>
2x-3=11 or 2x-3=-11<=>
x=7 or -4
S.S={-4,7}
7 & 4
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Answers & Comments
Verified answer
You have two possibilities.
2x - 3 = 11 or -(2x - 3) = 11
2x - 3 = 11
2x = 14
x = 7
-(2x - 3) = 11
-2x + 3 = 11
-2x = 8
x = -4
x = -4 or x = 7
|2x – 3| = 11
2x - 3 can be 11 or - 11
2x - 3 = 11
2x = 14
x = 7
2x - 3 = - 11
2x = - 8
x = - 4
2x - 3 = 11 or 2x - 3 = - 11
First we solve 2x - 3 = 11
=> 2x = 11 + 3
= x = 14/2
= [ x = 7 ] -------------------- (1)
Now solve 2x - 3 = - 11
2x = - 11 + 3
x = - 8/2
[ x = - 4 ] ------------------ (2)
By 1 & 2 the solution set is (7, - 4)
|2x-3| = 11
2x - 3 = 11, 2x - 3 = -11
x = 7, x = -4
|2x-3|=11
2x-3=11
2x=14
x=7
-----------
-(2x-3)=11
-2x+3=11
2x=-8
x=-4
x=7 and x=-4 are the solutions
7 and - 4
|2*7 -3| = 11
|2* (-4) - 3| = 11
A slightly different way is to eliminate thhe absolute function by squaring hence:
(2x - 3)^2 = 121
4x^2 - 12x - 112 = 0
x^2 - 3x - 28 = 0
(x - 7)(x + 4) = 0
x = 7 or x = -4
-4 and 7
|2x-3|=11<=>
2x-3=11 or 2x-3=-11<=>
x=7 or -4
S.S={-4,7}
7 & 4