College Algebra CLEP Prep Practice Exam

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What is the solution set for the equation |3x - 5| = 17?

{-12, 22}
{12, 22}
{-22, 12}
{-22, -12}

The correct answer is: {12, 22}

The solution set for the equation |3x - 5| = 17 is B {12, 22}. This is because in order for |3x - 5| to equal 17, either 3x - 5 = 17 or 3x - 5 = -17. Solving for x in both cases gives x = 12 and x = 22. The other options, A, C, and D, are incorrect because they do not satisfy the given equation. For option A, {-12, 22}, when substituted into the equation, it gives |3(-12) - 5| = 41, which is not equal to 17. Similarly, options C and D also do not satisfy the equation, making them incorrect solutions.