Answer:
To find the inequality for which x equals 4 is a solution, we can plug in x = 4 into each inequality and see which one is true.
Let's consider the following inequalities:
(a) x + 3 < 10
(b) 2x - 5 > 7
(c) 5x/2 + 2 >= 14 - x
(d) x^2 - 16x + 64 > 0
(a) x + 3 < 10
When x = 4, we get:
4 + 3 < 10
7 < 10
This is true, but x = 4 is not a solution to this inequality.
(b) 2x - 5 > 7
When x = 4, we get:
2(4) - 5 > 7
3 > 7
This is false, so x = 4 is not a solution to this inequality.
(c) 5x/2 + 2 >= 14 - x
When x = 4, we get:
5(4)/2 + 2 >= 14 - 4
10 + 2 >= 10
This is true, so x = 4 is a solution to this inequality.
(d) x^2 - 16x + 64 > 0
When x = 4, we get:
4^2 - 16(4) + 64 > 0
0 > 0
This is false, so x = 4 is not a solution to this inequality.
Therefore, the inequality for which x equals 4 is a solution is 5x/2 + 2 >= 14 - x.
Hope this helps!