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AlgebraEasySolving a two-step inequality

Algebra practice question

The inequality 2x + 1 < 7 is equivalent to which of the following?

  1. A. x < 3Correct
  2. B. x < 4
  3. C. x > 3
  4. D. x < 6

Answer: A. x < 3

Subtract 1: 2x < 6. Divide by 2: x < 3.

Why the other answers are wrong

B. x < 4
x < 4 divides 8 by 2, adding 1 instead of subtracting.
C. x > 3
The direction of the inequality does not change when dividing by a positive number.
D. x < 6
x < 6 forgets to divide by 2.

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