Final answer:
The solution value that does not satisfy the compound inequality X - 7 < 17 or -6x > 36 is x = 25, as it does not satisfy either part of the inequality.
Step-by-step explanation:
To determine which solution value does not satisfy the compound inequality X - 7 < 17 or -6x > 36, we first solve each inequality separately.
For the first inequality:
X - 7 < 17
Add 7 to both sides:
X < 17 + 7
X < 24
So X can be any value less than 24 to satisfy the first inequality.
For the second inequality:
-6x > 36
Divide both sides by -6, remembering to reverse the inequality sign:
x < -6
So x can be any value less than -6 to satisfy the second inequality.
The compound inequality is satisfied if either of the individual inequalities is satisfied. So, any value of x that is less than 24 or less than -6 would satisfy the compound inequality. We now test each given option:
- A) x = -1: Satisfies X - 7 < 17
- B) x = 0: Satisfies X - 7 < 17
- C) x = -10: Does not satisfy X - 7 < 17, but it does satisfy -6x > 36
- D) x = 25: Does not satisfy X - 7 < 17 and does not satisfy -6x > 36
Therefore, the value of x that does not satisfy either part of the compound inequality is x = 25.