Question

For which inequality would x = 5 be a solution?

x - 4 > 8
45 ÷ x < 9
x + 7 ≥ 12
8x ≤ 25.4

Answer 1

To determine which inequality x = 5 is a solution for, substitute x = 5 into each inequality. The only inequality that is true when x = 5 is x + 7 ≥ 12.

Step-by-step explanation:

To determine which inequality x = 5 is a solution for, we need to substitute x = 5 into each inequality and see if it is a valid solution.

1. x - 4 > 8: Substituting x = 5, we get 5 - 4 > 8, which simplifies to 1 > 8. This is not true, so x = 5 is not a solution to this inequality.
2. 45 ÷ x < 9: Substituting x = 5, we get 45 ÷ 5 < 9, which simplifies to 9 < 9. This is not true, so x = 5 is not a solution to this inequality.
3. x + 7 ≥ 12: Substituting x = 5, we get 5 + 7 ≥ 12, which simplifies to 12 ≥ 12. This is true, so x = 5 is a solution to this inequality.
4. 8x ≤ 25.4: Substituting x = 5, we get 8(5) ≤ 25.4, which simplifies to 40 ≤ 25.4. This is not true, so x = 5 is not a solution to this inequality.

Therefore, the inequality for which x = 5 is a solution is x + 7 ≥ 12.

Answer 2

1. (5) - 4 > 8
1 > 8
Not a solution
2. 45 ÷ (5) < 9
9 < 9
Not a solution
3. (5) + 7 ≥ 12
12 ≥ 12
True as a solution
4. 8(5) ≤ 25.4
40 ≤ 25.4
Not a solution