Finite Math Examples

Solve for t 4(3t+4)>2(11t+11)
Step 1
Simplify .
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Step 1.1
Rewrite.
Step 1.2
Simplify by adding zeros.
Step 1.3
Apply the distributive property.
Step 1.4
Multiply.
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Step 1.4.1
Multiply by .
Step 1.4.2
Multiply by .
Step 2
Simplify .
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Step 2.1
Apply the distributive property.
Step 2.2
Multiply.
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Step 2.2.1
Multiply by .
Step 2.2.2
Multiply by .
Step 3
Move all terms containing to the left side of the inequality.
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Step 3.1
Subtract from both sides of the inequality.
Step 3.2
Subtract from .
Step 4
Move all terms not containing to the right side of the inequality.
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Step 4.1
Subtract from both sides of the inequality.
Step 4.2
Subtract from .
Step 5
Divide each term in by and simplify.
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Step 5.1
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 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 5.3
Simplify the right side.
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Step 5.3.1
Cancel the common factor of and .
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Step 5.3.1.1
Factor out of .
Step 5.3.1.2
Cancel the common factors.
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Step 5.3.1.2.1
Factor out of .
Step 5.3.1.2.2
Cancel the common factor.
Step 5.3.1.2.3
Rewrite the expression.
Step 5.3.2
Move the negative in front of the fraction.
Step 6
The result can be shown in multiple forms.
Inequality Form:
Interval Notation: