Finite Math Examples

Solve for m m/2-3>7/2-m/5
Step 1
Move all terms containing to the left side of the inequality.
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Step 1.1
Add to both sides of the inequality.
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
To write as a fraction with a common denominator, multiply by .
Step 1.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 1.4.1
Multiply by .
Step 1.4.2
Multiply by .
Step 1.4.3
Multiply by .
Step 1.4.4
Multiply by .
Step 1.5
Combine the numerators over the common denominator.
Step 1.6
Reorder and .
Step 1.7
Add and .
Step 2
Move all terms not containing to the right side of the inequality.
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Step 2.1
Add to both sides of the inequality.
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Combine and .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Simplify the numerator.
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Step 2.5.1
Multiply by .
Step 2.5.2
Add and .
Step 3
Multiply both sides by .
Step 4
Simplify.
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Step 4.1
Simplify the left side.
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Step 4.1.1
Cancel the common factor of .
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Step 4.1.1.1
Cancel the common factor.
Step 4.1.1.2
Rewrite the expression.
Step 4.2
Simplify the right side.
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Step 4.2.1
Simplify .
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Step 4.2.1.1
Cancel the common factor of .
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Step 4.2.1.1.1
Factor out of .
Step 4.2.1.1.2
Cancel the common factor.
Step 4.2.1.1.3
Rewrite the expression.
Step 4.2.1.2
Multiply by .
Step 5
Divide each term in by and simplify.
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Step 5.1
Divide each term in by .
Step 5.2
Simplify the left side.
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Step 5.2.1
Cancel the common factor of .
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Step 5.2.1.1
Cancel the common factor.
Step 5.2.1.2
Divide by .
Step 6
The result can be shown in multiple forms.
Inequality Form:
Interval Notation: