The correct option is B [ ∞, 2] ∪ [ 2,2] R.E.F image #160; x^2 4x+2≤ 0 x^2 2^2x+2≤ 0 #160; #160; ∴ (a^2 b^2 = (a+b)(a b)) (x+2)(x ...

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Solving Linear Equations Using Transpose of Terms

x2-4 / x +2 ≤...

Question

$\frac{x^{2} - 4}{x + 2} \leq 0$

[- \infty, - 2]

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[- \infty, - 2] \cup [- 2, 2]

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[- \infty, - 5]

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None of these

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Solution

The correct option is B $[- \infty, - 2] \cup [- 2, 2]$
R.E.F image
$\frac{x^{2} - 4}{x + 2} \leq 0$
$\frac{x^{2} - 2^{2}}{x + 2} \leq 0$ $∴ (a^{2} - b^{2} = (a + b) (a - b))$
$\frac{(x + 2) (x - 2)}{(x + 2)} \leq 0$
$x \neq - 2$
$x ϵ (- \infty, - 2) \cup (- 2, 2]$

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