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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Solve 2x2 + 6x + 4 > 0

-3 < x < -2
x > -3 and x< 2
x > -2 and x< 3
x > 3 and x< -2

The correct answer is: x > -2 and x< 3

When solving for a quadratic inequality, the first step is to set the equation equal to zero to determine the boundaries for potential solutions. In this case, the equation 2x^2 + 6x + 4 > 0 can be rewritten as 2x^2 + 6x + 4 = 0. Factoring this equation gives us (2x + 2)(x + 2) = 0. Solving for x, we get x = -2 and x = -1. Looking at the options provided, we can see that Option A, -3 < x < -2, does not account for the second potential solution of x = -1. Option B, x > -3 and x < 2, does not include the first potential solution of x = -2. Option D, x > 3 and x < -2