The number of integers n satisfying -n+2 ≥ 0 and 2n ≥ 4 is
The number of integers n satisfying -n+2 ≥ 0 and 2n ≥ 4 is
- 0
- 1
- 2
- 3
Answer
First inequality:
-n + 2 ≥ 0
-n ≥ -2
n ≤ 2
Second inequality:
2n ≥ 4
n ≥ 2
Only n = 2 satisfies both inequalities. So, there is only 1 integer that satisfies both the inequalities.
The correct option is B.