What are the solutions to the inequality (x-3)(x+5)≤0?
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the inequality:
(x-3)(x+5)≤0
Determine the solution of the inequality/
Solution:
We can determine its solution individually.
(x-3)(x+5)≤0
(x-3)≤0
Transpose -3 on the other side of the equation. It must be noted that when transposing a number, the sign changes
x ≤ 3
x+5 ≤0
Transpose 5 on the other side of the equation, therefore it will become -5
x ≤ -5
The solution for the inequalities are; x≤ 3 and x ≤ -5