# Solve for m (2m+3)/2-17/4<(m+2)/8 Move to the left side of the equation by subtracting it from both sides.
Simplify the left side.
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Apply the distributive property.
Multiply by .
Multiply by .
Apply the distributive property.
Multiply by .
Subtract from .
Subtract from .
Since this is the only denominator in the list, the result is the LCD: .
Multiply each term by and simplify.
Multiply each term in by .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Add to both sides of the inequality.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
The result can be shown in multiple forms.
Inequality Form:
Interval Notation:
Solve for m (2m+3)/2-17/4<(m+2)/8

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