What is the solution set to the inequality 5(x – 2)(x + 4) > 0?
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the inequality:
5( x - 2 ) ( x + 4 ) > 0
Determine the solution set to the inequality.
Solution:
In order to determine the solution set to the inequality, we equate each factor separately and solve for x.
x - 2 > 0
x + 4 > 0
Transpose -2 and 4 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
x > 2
x > -4
Final answer:
x > 2
x > -4