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Linear Inequalities in One or Two Variables

SAT Math· difficulty 3/5

Which describes the solution to 5<3−2x≤115 < 3 - 2x \le 11?

  • A

    −1<x≤4-1 < x \le 4

  • B

    1≤x<41 \le x < 4

  • C

    −4≤x<−1-4 \le x < -1

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  • D

    −4≤x≤−1-4 \le x \le -1

Explanation

Subtract 33: 2<−2x≤82 < -2x \le 8. Divide by −2-2 (flip): −1>x≥−4-1 > x \ge -4, i.e., −4≤x<−1-4 \le x < -1.

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