5003 Praxis Practice Test Practice Question
3x + 6(3 - x) < 5(x + 2) What is the solution to the inequality shown?
Correct Answer: B
Rationale: To solve the inequality \(3x + 6(3 - x) < 5(x + 2)\), first distribute and simplify both sides. This leads to \(3x + 18 - 6x < 5x + 10\), which simplifies to \(-3x + 18 < 5x + 10\). Rearranging gives \(8 < 8x\), or \(x > 1\).
Option A (x > 1) misinterprets the direction of the inequality. Option C (x = 1) is incorrect as it does not satisfy the inequality. Option D (no solution) is false since valid solutions exist. Thus, the solution \(x < 1\) is confirmed through proper algebraic manipulation.
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