Solve the inequality \(\displaystyle{\frac{{{x}-{4}}}{{{x}+{2}}}}\leq{0}\)

Petrolovujhm

Petrolovujhm

Answered question

2022-03-20

Solve the inequality
x4x+20

Answer & Explanation

Luciana Cline

Luciana Cline

Beginner2022-03-21Added 14 answers

Given
x4x+20
x40 and x+2<0 or x40 and x+2>0
x4 and x<2 or x4 and x2
But x4 and x<2 is not possible, as number can't be bigger or equal to 4 and less than -2
Therefore, x4 and x2
2<x4
x(2,4]

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