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Inequalities Involving Modulus Function

-x-2 ÷ x+1=1 ...

Question

_/(x -2 ÷ x +1) = 1/2
solve for x.
_/ means under root

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Solution

squaring both sides

(x-2)/ (x+1) = 1/4

4(x-2) = (x+1)
4x-8 = x+1
4x-x= 1+8
3x=9
x= 9/3= 3

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Inequalities Involving Modulus Function

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