Finite Math Examples

Convert to Interval Notation 13x+4>4(3x+1)-x+5
Step 1
Rewrite so is on the left side of the inequality.
Step 2
Simplify .
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Step 2.1
Simplify each term.
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Step 2.1.1
Apply the distributive property.
Step 2.1.2
Multiply by .
Step 2.1.3
Multiply by .
Step 2.2
Simplify by adding terms.
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Step 2.2.1
Subtract from .
Step 2.2.2
Add and .
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
Dividing two negative values results in a positive value.
Step 6
Convert the inequality to interval notation.
Step 7