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Linear Inequalities in One or Two Variables

SAT Math· difficulty 4/5

What is the solution to −1≤5−2x<9-1 \leq 5 - 2x < 9?

  • A

    −2≤x<3-2 \leq x < 3

  • B

    3≤x<−23 \leq x < -2

  • C

    −2<x≤3-2 < x \leq 3

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  • D

    −2<x<3-2 < x < 3

Explanation

Subtract 5: −6≤−2x<4-6 \leq -2x < 4. Divide by −2-2 (flip and reverse): −2<x≤3-2 < x \leq 3.

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