Finite Math Examples

Convert to Interval Notation (2k-5)/-4>5
Step 1
Multiply both sides by .
Step 2
Simplify.
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Step 2.1
Simplify the left side.
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Step 2.1.1
Simplify .
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Step 2.1.1.1
Cancel the common factor of .
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Step 2.1.1.1.1
Factor out of .
Step 2.1.1.1.2
Factor out of .
Step 2.1.1.1.3
Cancel the common factor.
Step 2.1.1.1.4
Rewrite the expression.
Step 2.1.1.2
Combine and .
Step 2.1.1.3
Simplify the expression.
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Step 2.1.1.3.1
Move the negative one from the denominator of .
Step 2.1.1.3.2
Rewrite as .
Step 2.1.1.4
Apply the distributive property.
Step 2.1.1.5
Multiply.
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Step 2.1.1.5.1
Multiply by .
Step 2.1.1.5.2
Multiply by .
Step 2.1.1.6
Apply the distributive property.
Step 2.1.1.7
Multiply.
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Step 2.1.1.7.1
Multiply by .
Step 2.1.1.7.2
Multiply by .
Step 2.2
Simplify the right side.
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Step 2.2.1
Multiply by .
Step 3
Solve for .
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Step 3.1
Move all terms not containing to the right side of the inequality.
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Step 3.1.1
Add to both sides of the inequality.
Step 3.1.2
Add and .
Step 3.2
Divide each term in by and simplify.
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Step 3.2.1
Divide each term in by .
Step 3.2.2
Simplify the left side.
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Step 3.2.2.1
Cancel the common factor of .
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Step 3.2.2.1.1
Cancel the common factor.
Step 3.2.2.1.2
Divide by .
Step 3.2.3
Simplify the right side.
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Step 3.2.3.1
Move the negative in front of the fraction.
Step 4
Convert the inequality to interval notation.
Step 5