Praxis 5003 Practice Question
Which of the following could be the inequality?
Correct Answer: C
Rationale: Option C, \( x < 2x - 1 \), is valid because it simplifies to \( x - 2x < -1 \) or \( -x < -1 \), which further simplifies to \( x > 1 \). This maintains the integrity of an inequality, providing a clear solution set.
Option A, \( 2(x + 1) < x \), simplifies to \( 2x + 2 < x \) or \( x < -2 \), which is less intuitive and does not clearly represent a common inequality form.
Option B, \( x + 2(x + 1) > -1 \), simplifies to \( 3x + 2 > -1 \) or \( 3x > -3 \), leading to \( x > -1 \). While valid, it does not represent a simple inequality.
Option D, \( 2(x/2 + 1) < 1 \), simplifies to \( x + 2 < 1 \) or \( x < -1 \), which is valid but less straightforward compared to option C.
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