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Algebra Examples
and
Step 1
Step 1.1
Rewrite so is on the left side of the inequality.
and
Step 1.2
Divide each term in by and simplify.
Step 1.2.1
Divide each term in by .
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Step 1.2.2
Simplify the left side.
Step 1.2.2.1
Cancel the common factor of .
Step 1.2.2.1.1
Cancel the common factor.
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Step 1.2.2.1.2
Divide by .
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Step 2
Step 2.1
Move all terms not containing to the right side of the inequality.
Step 2.1.1
Add to both sides of the inequality.
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Step 2.1.2
Add and .
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Step 2.2
Divide each term in by and simplify.
Step 2.2.1
Divide each term in by .
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Step 2.2.2
Simplify the left side.
Step 2.2.2.1
Cancel the common factor of .
Step 2.2.2.1.1
Cancel the common factor.
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Step 2.2.2.1.2
Divide by .
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Step 2.2.3
Simplify the right side.
Step 2.2.3.1
Move the negative in front of the fraction.
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Step 3
The intersection consists of the elements that are contained in both intervals.
Step 4
The result can be shown in multiple forms.
Inequality Form:
Interval Notation:
Step 5