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Linear Inequalities in One or Two Variables

SAT Math· difficulty 4/5

What is the solution to ∣2x+1∣≥5|2x + 1| \geq 5?

  • A

    x≤2x \leq 2

  • B

    x≥−3x \geq -3

  • C

    −3≤x≤2-3 \leq x \leq 2

  • D

    x≤−3x \leq -3 or x≥2x \geq 2

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Explanation

2x+1≥52x + 1 \geq 5 gives x≥2x \geq 2. 2x+1≤−52x + 1 \leq -5 gives x≤−3x \leq -3. Solution: x≤−3x \leq -3 or x≥2x \geq 2.

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