Question
Question: The inequality \(\sqrt{x + 2}\)³ x is satisfied if...
The inequality x+2³ x is satisfied if
A
– 2 £ x £ 2
B
–3 £ x £ 2
C
– 4 £ x £ 2
D
None of these
Answer
– 2 £ x £ 2
Explanation
Solution
x + 2 ³ x2 for x ³ 0
x2 – x –2 £ 0
(x –2)(x + 1) £ 0
xĪ[0, 2]
x < 0 always valid but x + 2 ³ 0
Ž x ³ – 2
x Ī [–2, 2]