Finite Math Examples

Solve for p -2/3p-5/3<2p
Step 1
Simplify each term.
Tap for more steps...
Step 1.1
Combine and .
Step 1.2
Move to the left of .
Step 2
Move all terms containing to the left side of the inequality.
Tap for more steps...
Step 2.1
Subtract from 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
Combine the numerators over the common denominator.
Step 2.6
Multiply by .
Step 2.7
Subtract from .
Step 2.8
Factor out of .
Step 2.9
Rewrite as .
Step 2.10
Factor out of .
Step 2.11
Rewrite as .
Step 2.12
Move the negative in front of the fraction.
Step 3
Divide each term in by and simplify.
Tap for more steps...
Step 3.1
Divide each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Step 3.2
Simplify the left side.
Tap for more steps...
Step 3.2.1
Dividing two negative values results in a positive value.
Step 3.2.2
Divide by .
Step 3.3
Simplify the right side.
Tap for more steps...
Step 3.3.1
Divide by .
Step 4
Multiply both sides by .
Step 5
Simplify.
Tap for more steps...
Step 5.1
Simplify the left side.
Tap for more steps...
Step 5.1.1
Cancel the common factor of .
Tap for more steps...
Step 5.1.1.1
Cancel the common factor.
Step 5.1.1.2
Rewrite the expression.
Step 5.2
Simplify the right side.
Tap for more steps...
Step 5.2.1
Multiply by .
Step 6
Solve for .
Tap for more steps...
Step 6.1
Subtract from both sides of the inequality.
Step 6.2
Divide each term in by and simplify.
Tap for more steps...
Step 6.2.1
Divide each term in by .
Step 6.2.2
Simplify the left side.
Tap for more steps...
Step 6.2.2.1
Cancel the common factor of .
Tap for more steps...
Step 6.2.2.1.1
Cancel the common factor.
Step 6.2.2.1.2
Divide by .
Step 6.2.3
Simplify the right side.
Tap for more steps...
Step 6.2.3.1
Move the negative in front of the fraction.
Step 7
The result can be shown in multiple forms.
Inequality Form:
Interval Notation: