Question

What solution value does not satisfy the compound inequality X - 7 < 17 or -6x >36?

A) x = -10
B) x= 25
C) x= 0
D) x= -1

Answer 1

The value that does not satisfy the compound inequality X - 7 < 17 or -6x > 36 is B) x = 25, as it is greater than 24 and -6, and therefore does not meet either condition of the inequality.

Step-by-step explanation:

We need to determine which value does not satisfy the compound inequality X - 7 < 17 or -6x > 36. Let's solve both inequalities separately.

For the first inequality, X - 7 < 17:

• Add 7 to both sides: X < 24. So, X can be any number less than 24.

For the second inequality, -6x > 36:

• Divide both sides by -6 (remember to flip the inequality sign when you divide by a negative number): X < -6.
• The solution to this inequality is any number less than -6.

Looking at both solutions together, any number less than 24 or less than -6 will satisfy at least one part of the compound inequality. Now we can test each of the given options:

• A) x = -10 satisfies X < -6.
• B) x = 25 does not satisfy either inequality.
• C) x = 0 satisfies X < 24.
• D) x = -1 satisfies X < 24.

Therefore, the value that does not satisfy the compound inequality is B) x = 25.