Praxis 5003 Practice Test Practice Question
3(x-2)>4x+1 Which of the following inequalities is equivalent to the preceding linear inequality?
Correct Answer: A
Rationale: To solve the inequality 3(x-2) > 4x + 1, start by distributing: 3x - 6 > 4x + 1. Rearranging gives -6 - 1 > 4x - 3x, leading to -7 > x, or x < -7.
Option A (x < -7) is correct as it reflects this solution.
Option B (x > -7) is incorrect; it suggests values greater than -7, which do not satisfy the original inequality.
Option C (x < -3) is also wrong, as it is less restrictive than the correct solution.
Option D (x > -3) is incorrect for the same reason as B, allowing values that do not meet the original inequality's conditions.
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