# Trigonometry Examples

Solve for n 3-|4-n|>1
Move all terms not containing to the right side of the inequality.
Subtract from both sides of the inequality.
Subtract from .
Multiply each term in by
Multiply each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Multiply .
Multiply by .
Multiply by .
Multiply by .
Remove the absolute value term. This creates a on the right side of the inequality because .
Set up the positive portion of the solution.
Solve the first inequality for .
Move all terms not containing to the right side of the inequality.
Subtract from both sides of the inequality.
Subtract from .
Multiply each term in by
Multiply each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Multiply .
Multiply by .
Multiply by .
Multiply by .
Set up the negative portion of the solution. When solving the negative portion of an inequality, flip the direction of the inequality sign.
Solve the second inequality for .
Move all terms not containing to the right side of the inequality.
Subtract from both sides of the inequality.
Subtract from .
Multiply each term in by
Multiply each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Multiply .
Multiply by .
Multiply by .
Multiply by .
Set up the intersection.
and
Find the intersection between the sets.
The result can be shown in multiple forms.
Inequality Form:
Interval Notation: