Question

Choose an appropriate value of x that makes each inequality true.


x + 19
2 > 15

Answer 1

6
11
-1
24

Answer 2

To make this inequality true, x must be greater than -4.

Explanation:

In order for the left side of the inequality to be greater than 15, x must be a value that when added to 19 and then divided by 2, gives a result greater than 15.

x + 19 > 15
x > -4

So any value of x that is greater than -4, such as -3, 0, 1, 10, etc., would make the inequality true.

Answer 3

To determine if each value makes the inequality true, we substitute each value into the inequality and check if the resulting expression is greater than 15.

1. Substitute x = 6:
6 + 19 / 2 > 15
25 / 2 > 15
12.5 > 15
This is false, so x = 6 does not make the inequality true.

2. Substitute x = 11:
11 + 19 / 2 > 15
30 / 2 > 15
15 > 15
This is false, so x = 11 does not make the inequality true.

3. Substitute x = -1:
-1 + 19 / 2 > 15
18 / 2 > 15
9 > 15
This is false, so x = -1 does not make the inequality true.

4. Substitute x = 24:
24 + 19 / 2 > 15
43 / 2 > 15
21.5 > 15
This is true, so x = 24 does make the inequality true.

Therefore, the appropriate value of x that makes the inequality true is x = 24.