Question

4 + h ≤ 7 and h + 1 > 3

What is the value of the unknown number, h?

Answer 1

Explanation:

4+h≤7 -----then subtract 4 from both sides

h≤3

h+1>3------ subtract 1 from both sides

h>2

so by process of elimination the answer is 2<h≤3

Answer 2

If h is integer, then h = 3.

If h is real number, then h ∈ (2, 3]

Explanation:

4 + h ≤ 7 subtract 4 from both sides

4 - 4 + h ≤ 7 - 4

h ≤ 3

and

h + 1 > 3 subtract 1 from both sides

h + 1 - 1 > 3 - 1

h > 2

2 < h ≤ 3 → h = 3

h is greater then 2 and less or equal than 3