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Pre-Algebra Examples
Step 1
Subtract from both sides of the inequality.
Step 2
Step 2.1
To write as a fraction with a common denominator, multiply by .
Step 2.2
Combine and .
Step 2.3
Combine the numerators over the common denominator.
Step 2.4
Simplify the numerator.
Step 2.4.1
Apply the distributive property.
Step 2.4.2
Multiply by .
Step 2.4.3
Subtract from .
Step 2.4.4
Add and .
Step 2.4.5
Add and .
Step 3
Find all the values where the expression switches from negative to positive by setting each factor equal to and solving.
Step 4
Add to both sides of the equation.
Step 5
Step 5.1
Set the denominator in equal to to find where the expression is undefined.
Step 5.2
Add to both sides of the equation.
Step 5.3
The domain is all values of that make the expression defined.
Step 6
The solution consists of all of the true intervals.
Step 7
The result can be shown in multiple forms.
Inequality Form:
Interval Notation:
Step 8