Step 1: Rearrange: x^2 + 4x - 12 < 0. Step 2: Factor: (x + 6)(x - 2) < 0. Step 3: The solution is -6 < x < 2.
Solve the inequality: x^2 + 4x < 12.
Practice Questions
Q1
Solve the inequality: x^2 + 4x < 12.
x < 2 or x > -6
x > 2 and x < -6
x < -2 or x > 6
x > -6 and x < 2
Questions & Step-by-Step Solutions
Solve the inequality: x^2 + 4x < 12.
Quadratic Inequalities – Understanding how to solve inequalities involving quadratic expressions by rearranging, factoring, and analyzing sign changes.
Factoring – The ability to factor quadratic expressions to find critical points for testing intervals.
Interval Testing – Using test points in the intervals determined by the roots to find where the inequality holds true.
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