College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP Test with our comprehensive practice exam. Study with flashcards and multiple choice questions, each offering clues and detailed explanations. Achieve your best score and excel in your exam!

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What type of number is described by the equation |x - 2| = 6?

Rational
Irrational
Integer
Real

The correct answer is: Real

The equation |x - 2| = 6 represents a distance of 6 units from a fixed point, in this case 2. It could be visualized as a line segment on a number line with endpoints at x = -4 and x = 6. Since this distance can be any real number, the type of number described is a real number. A rational number is a number that can be expressed as a ratio of two integers, but the equation does not involve any fractions or division. An irrational number is a number that cannot be expressed as a ratio of two integers, but the equation does not involve any square roots or non-terminating decimals. An integer is a whole number, but the equation does not necessarily limit the possible values of x to whole numbers. Therefore, the only option that best fits the description given is a real number, making D the correct answer