College Algebra CLEP Prep Practice Exam

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What is the solution set of x^2 + x - 6 = 0?

{-2, 3}
{-3, 2}
{-3, -2}
{2, 3}

The correct answer is: {-2, 3}

This is a quadratic equation that can be solved by factoring. The solutions of this equation are the values of x that make the equation true. To solve this equation, we can factor it into (x + 3)(x - 2) = 0. This means that either x + 3 = 0 or x - 2 = 0. Solving these equations gives us x = -3 or x = 2, making the solution set {-3, 2}. The other options in the choices do not solve the equation because they do not make it true when substituted in the equation. For example, if we substitute -2 for x, we get 4 = -2 - 6, which is not true. Therefore, A is the only correct solution set for this equation.