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Question

Solve for x:|x|3x||3x=8

A
{1}
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B
{1}
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C
{32}
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D
{32}
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Solution

The correct option is A {1}
|x|3x||3x=8

Case1:
x>3
|x((3x))|3x=8
|x+3x|3x=8
x=53
But x shall be >3
So, xϕ

Case2:
x3
|x(3x)|3x=8
|2x3|3x=6
Case2a:
x<32
x(,32)
(2x3)3x=8
5x=5
x=1(,32)

Case2b:
x32
x[32,3]
(2x3)3x=8
x=11
x=11[32,3]

Final solution = case 1 case 2
=ϕ{1}={1}

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