Exercise
$\frac{3x^2+2x-2}{2x^2-8}>\frac{1}{2}$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the inequality (3x^2+2x+-2)/(2x^2-8)>1/2. Factor the polynomial 2x^2-8 by it's greatest common factor (GCF): 2. Moving the denominator multiplying to the other side of the inequation. Multiply the fraction and term in 2\frac{1}{2}\left(x^2-4\right). Moving the term -2 to the other side of the inequation with opposite sign.
Solve the inequality (3x^2+2x+-2)/(2x^2-8)>1/2
Final answer to the exercise
$x>\frac{\sqrt{3}i-1}{2}$