Finite Math Examples

Convert to Interval Notation 35(x-5)+23(x-3)>-6
Step 1
Simplify .
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Step 1.1
Simplify each term.
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Step 1.1.1
Apply the distributive property.
Step 1.1.2
Multiply by .
Step 1.1.3
Apply the distributive property.
Step 1.1.4
Multiply by .
Step 1.2
Simplify by adding terms.
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Step 1.2.1
Add and .
Step 1.2.2
Subtract from .
Step 2
Move all terms not containing to the right side of the inequality.
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Step 2.1
Add to both sides of the inequality.
Step 2.2
Add and .
Step 3
Divide each term in by and simplify.
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Step 3.1
Divide each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Cancel the common factor of .
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Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Divide by .
Step 3.3
Simplify the right side.
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Step 3.3.1
Cancel the common factor of and .
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Step 3.3.1.1
Factor out of .
Step 3.3.1.2
Cancel the common factors.
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Step 3.3.1.2.1
Factor out of .
Step 3.3.1.2.2
Cancel the common factor.
Step 3.3.1.2.3
Rewrite the expression.
Step 4
Convert the inequality to interval notation.
Step 5