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

  1. 0
  2. 1
  3. 2
  4. 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.