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Question

Solve:
1|x|513

Solution
Verified by Toppr

Given, 1||x|513
Case I: x0 |x|=x
1x5130 3x+53(x5)0
x8x50
x(,5)(8,)
As x0 x[0,5][8,](1)
Case II: x<0 |x|=x
1x513 13+1x+50
x+8x+50
x(,8)(5,)
As x<0, x(,8)(5,0)(2)
x(,8)(5,5)(8,)


1381979_1134144_ans_1a4f8b77544c4ec6bfc7858e76bbe924.png

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