If (\sqrt{2 + x - x^{2}})> x – 4 then – | MATH - RELATION BETWEEN ROOTS AND COEFFICIENTS | SolveeIt | Solveeit

Today, August 23

Question

If $\sqrt{2 + x - x^{2}}$ > x – 4 then –

A

– 1 £ x £ 2

B

(–, )

C

(–1, 4)

D

[2, )

Answer

– 1 £ x £ 2

Explanation

Solution

Since $\sqrt{2 + x - x^{2}}$ is defined only in – 1 £ x £ 2. Hence it is meaningless consider other values of x. R.H.S. i.e., x – 4 < 0 in – 1 £ x £ 2