Question

Look at the list of values below.

A. 8
B. 35
C. -2

Which of these values will make -4x + 5 < -35 true?

A) A and C only

B) A only

C) B only

D) All of the above

Answer 1

To solve the inequality -4x + 5 < -35, subtract 5 from both sides to get -4x < -40, then divide by -4, which flips the inequality to x > 10. Values more than 10 satisfy the inequality. Hence, the correct answer is C) B only, since only 35 is greater than 10.

Step-by-step explanation:

The question seeks to determine which values from the list will satisfy the inequality -4x + 5 < -35. To solve for x, one must first subtract 5 from both sides of the inequality:

-4x + 5 - 5 < -35 - 5

-4x < -40

Then, dividing both sides by -4 and remembering that dividing or multiplying both sides of an inequality by a negative number reverses the inequality direction:

x > 10

Checking the provided values against the condition x > 10, we find:

• A. 8 is not greater than 10, so it does not satisfy the inequality.
• B. 35 is greater than 10, so it satisfies the inequality.
• C. -2 is not greater than 10, so it does not satisfy the inequality.

Therefore, the correct answer is C) B only.