Question
Solve the inequality
x>−8
Alternative Form
x∈(−8,+∞)
Evaluate
x2−39x−x2−24<0
Simplify
More Steps

Evaluate
x2−39x−x2−24
Divide the terms
More Steps

Evaluate
39
Reduce the numbers
13
Calculate
3
x2−3x−x2−24
The sum of two opposites equals 0
More Steps

Evaluate
x2−x2
Collect like terms
(1−1)x2
Add the coefficients
0×x2
Calculate
0
0−3x−24
Remove 0
−3x−24
−3x−24<0
Move the constant to the right side
−3x<0+24
Removing 0 doesn't change the value,so remove it from the expression
−3x<24
Change the signs on both sides of the inequality and flip the inequality sign
3x>−24
Divide both sides
33x>3−24
Divide the numbers
x>3−24
Solution
More Steps

Evaluate
3−24
Reduce the numbers
1−8
Calculate
−8
x>−8
Alternative Form
x∈(−8,+∞)
Show Solution
