Inequalities: Overview

If $$22 ≥ 6 - 2b ≥ -4$$, which of the following is the largest possible value of $$b$$?

Correct. [[Snippet]] First, isolate the variable as in one-variable linear equations. In this case, subtract $$6$$ from each part of the inequality. >$$22-6 ≥ 6 - 2b-6 ≥ -4-6$$ >$$16 ≥ -2b ≥ -10$$ Divide each part of the inequality by $$-2$$. You need to flip the inequality sign when you do that. >$$\displaystyle \frac{16}{-2} ≤ \frac{-2b}{-2} ≤ \frac{-10}{-2}$$ >$$-8 ≤ b ≤ 5$$ Based on this, the largest possible value of $$b$$ is $$5$$. Hence, this is the correct answer.

Incorrect. [[Snippet]] Carefully check your work.

Incorrect. [[Snippet]] You might have gotten this answer if you made a sign error when solving for $$b$$.

Incorrect.

Did you forget to flip the sign of the inequality when dividing by $$-2$$? [[Snippet]]

Incorrect. [[Snippet]] Check your calculations carefully.

$$-8$$

$$-5$$

$$3$$

$$5$$

$$13$$