Question

If 8 − 3x ≤ −16 + x, then which of the following
must be true?

Answer 1

Step-by-step explanation:

To determine which of the given options must be true based on the inequality 8 - 3x ≤ -16 + x, we can solve the inequality and examine the resulting conditions.

First, let's simplify the inequality:

8 - 3x ≤ -16 + x

Combining like terms:

8 + 16 ≤ x + 3x

24 ≤ 4x

Now, divide both sides of the inequality by 4:

24/4 ≤ x

6 ≤ x

From this, we can conclude that x must be greater than or equal to 6.

Therefore, the following option must be true:

C) x ≥ 6