ISEE Word Problems Question 192: Answer and Explanation
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Question: 192
3. A solution set is graphed on the number line shown.
The solution set of which inequality is shown?
- A. |x – 7| < 2
- B. |x + 7| < 2
- C. |x – 8| < 1
- D. |x + 8| < 1
Correct Answer: B
Explanation:
The answer is B
Test the answers to determine which one yields the indicated graph. For each answer, there are two cases. For choice (A), first solve x - 7 < 2. Add 7 to both sides: x < 9. As this is not one of the indicated end points in the graph, eliminate (A). For choice (B), first solve x + 7 < 2. Subtract 7 from both sides: x < -5. This is consistent with the graph. Now, solve x + 7 > -2. Subtract 7 from both sides: x > -9. This is also consistent with the graph, so choice (B) is correct.