SAT Math Multiple Choice Question 15: Answer and Explanation

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Question: 15

1. If x + 6 > 0 and 1 - 2x > -1, then x could equal each of the following EXCEPT

  • A. -6
  • B. -4
  • C. 0
  • D.

Correct Answer: A

Explanation:

A Solve the first inequality by subtracting 6 from each side so that x > -6. You are looking for values that won't work for x, and x cannot equal -6. Therefore, the answer must be (A). Just to be sure, solve the next inequality by subtracting 1 from each side to get -2x > -2. Divide by -2, remembering to switch the sign because you are dividing by a negative number, to get x < 1. The values in (B), (C), and (D) fit this requirement as well, so they are values for x and not the correct answer.

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