ISEE Word Problems Question 201: Answer and Explanation

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Question: 201

6. Which of the following is a graph of x > –2 and x ≤ 3?

  • A.
  • B.
  • C.
  • D.

Correct Answer: B

Explanation:

The answer is B

x > -2 is represented by a line extending from -2 to the right, originating with an open dot. x ≤ 3 is represented by a line extending from 3 to the left, originating with a closed dot. Because these lines meet (do not extend in opposite directions), a single line between -2 and 3 is correct.

When dealing with inequalities, and represents something looking like a rubber band, while or represents something looking like oars of a boat. Thus, in this case, and requires one of choices (A) or (B). The difference between these answers lies in the open or closed dots. The presence of "or equal to" requires a closed dot.

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