Q. The number of integers −n + 2 ≥ 0 and 2n ≥ 4 is: satisfying
(A) 1
(B) 4
(C) 0
(D) 2
Question from UPPSC Prelims CSAT 2024
Correct Answer: (A) 1
Explanation:
Let’s solve each inequality step by step.
1. Solving -n + 2 ≥ 0:
-n + 2 ≥ 0
-n ≥ -2
n ≤ 2
2. Solving 2n ≥ 4:
2n ≥ 4
n ≥ 2
Combining Both Inequalities:
From the solutions above:
n ≤ 2 and n ≥ 2
The only integer that satisfies both conditions is:
n = 2; Answer: 1
