Final answer:
The value that does not satisfy the compound inequality x-7<17 or -6x> 36 is x = 25, which is option B. We determine this by simplifying each part of the compound inequality and testing each option against the solution set.
Step-by-step explanation:
To solve this compound inequality, we need to consider each part of the inequality separately and find the set of values for x that satisfy each one. The first part of the compound inequality is x - 7 < 17, which simplifies to x < 24. The second part is -6x > 36, which simplifies to x < -6 when both sides are divided by -6, remembering that dividing by a negative number flips the inequality sign.
Therefore, the solution set for the compound inequality x - 7 < 17 or -6x > 36 is any x that is less than 24 or less than -6. Now, we can test each option:
- Option A: x = -10 satisfies x < -6.
- Option B: x = 25 does not satisfy either x < 24 or x < -6.
- Option C: x = -1 satisfies x < 24.
- Option D: x = 0 satisfies x < 24.
Therefore, the value of x that does not satisfy the compound inequality is x = 25, which corresponds to option B.