College Algebra CLEP Prep Practice 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