Move to the left side of the equation by subtracting it from both sides.

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 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 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