Question

The numbers 5, 6, and 7 are solutions of which of the following inequalities?(1 point)
Responses

3x+4≥16
3 x plus 4 greater-than-or-equal-to 16

15−x<10
15 minus x less than 10

3x−4>11
3 x minus 4 greater than 11

x+10≠15
x plus 10 not equal to 15

Answer 1

wrong

Answer 2

The numbers 5, 6, and 7 are solutions of the inequality

3x-4>11.

Answer 3

My apologies for the mistake. Let's reevaluate the inequalities given the numbers 5, 6, and 7.

1. For 3x + 4 ≥ 16:
- When x = 5, 3(5) + 4 = 19 ≥ 16 (true)
- When x = 6, 3(6) + 4 = 22 ≥ 16 (true)
- When x = 7, 3(7) + 4 = 25 ≥ 16 (true)
Hence, this inequality is satisfied by 5, 6, and 7.

2. For 15 - x < 10:
- When x = 5, 15 - 5 = 10 < 10 (false)
- When x = 6, 15 - 6 = 9 < 10 (true)
- When x = 7, 15 - 7 = 8 < 10 (true)
Hence, this inequality is only satisfied by 6 and 7.

3. For x + 10 ≠ 15:
- When x = 5, 5 + 10 = 15 ≠ 15 (false)
- When x = 6, 6 + 10 = 16 ≠ 15 (true)
- When x = 7, 7 + 10 = 17 ≠ 15 (true)
Hence, this inequality is only satisfied by 6 and 7.

Based on the calculations above, the numbers 6 and 7 are solutions of the first and third inequalities.