jee-main 2022 Q61

jee-main · India · session2_28jul_shift2 Inequalities Set Operations Using Inequality-Defined Sets
Let $S = \left\{ x \in [ - 6,3 ] - \{ - 2,2 \} : \frac { | x + 3 | - 1 } { | x | - 2 } \geq 0 \right\}$ and $T = \left\{ x \in Z : x ^ { 2 } - 7 | x | + 9 \leq 0 \right\}$. Then the number of elements in $S \cap T$ is
(1) 7
(2) 5
(3) 4
(4) 3
Let $S = \left\{ x \in [ - 6,3 ] - \{ - 2,2 \} : \frac { | x + 3 | - 1 } { | x | - 2 } \geq 0 \right\}$ and $T = \left\{ x \in Z : x ^ { 2 } - 7 | x | + 9 \leq 0 \right\}$. Then the number of elements in $S \cap T$ is\\
(1) 7\\
(2) 5\\
(3) 4\\
(4) 3