isi-entrance 2024 Q13

isi-entrance · India · UGA Inequalities Integer Solutions of an Inequality
The number of elements in the set $$\left\{x : 0 \leqslant x \leqslant 2,\, \left|x - x^5\right| = \left|x^5 - x^6\right|\right\}$$ is
(A) 2
(B) 3
(C) 4
(D) 5
The number of elements in the set
$$\left\{x : 0 \leqslant x \leqslant 2,\, \left|x - x^5\right| = \left|x^5 - x^6\right|\right\}$$
is\\
(A) 2\\
(B) 3\\
(C) 4\\
(D) 5