Question

which of the following is a solution to the inequality below?
12 + b ≤ 3

b = -3 b = -6 b = -2 b = -10

Explanation:

Step1: Solve the inequality for \( b \)

To solve \( 12 + b \leq 3 \), we subtract 12 from both sides of the inequality.

$$ 12 + b - 12 \leq 3 - 12 $$

Simplifying both sides, we get:

$$ b \leq -9 $$

Step2: Check which option satisfies \( b \leq -9 \)

• For \( b = -3 \): \( -3 \leq -9 \) is false.
• For \( b = -6 \): \( -6 \leq -9 \) is false.
• For \( b = -2 \): \( -2 \leq -9 \) is false.
• For \( b = -10 \): \( -10 \leq -9 \) is true (since -10 is less than -9).

Answer:

\( b = -10 \)