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Holds for all satisfying:
MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Algebra
Problem
x
+
3
x
2
−
x
−
2
≥
1
x
−
4
\frac{x+3}{x^2-x-2} \ge \frac{1}{x-4}
x
2
−
x
−
2
x
+
3
≥
x
−
4
1
holds for all
x
x
x
satisfying: (a)
−
2
<
x
<
1
-2 < x < 1
−
2
<
x
<
1
or
x
>
4
x > 4
x
>
4
(b)
−
1
<
x
<
2
-1 < x < 2
−
1
<
x
<
2
or
x
>
4
x > 4
x
>
4
(c)
x
<
−
1
x < -1
x
<
−
1
or
2
<
x
<
4
2 < x < 4
2
<
x
<
4
(d)
x
>
−
1
x > -1
x
>
−
1
or
2
<
x
<
4
2 < x < 4
2
<
x
<
4
Related theory
Linear Inequalities
Algebra
Functions
Inequalities
Quadratic and rational inequalities
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