Finite Math Examples

Convert to Interval Notation 3x-1<5(x+1)
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 by .
Step 2
Move all terms containing to the left side of the inequality.
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Step 2.1
Subtract from both sides of the inequality.
Step 2.2
Subtract from .
Step 3
Move all terms not containing to the right side of the inequality.
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Step 3.1
Add to both sides of the inequality.
Step 3.2
Add and .
Step 4
Divide each term in by and simplify.
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Step 4.1
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 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of .
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Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
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Step 4.3.1
Divide by .
Step 5
Convert the inequality to interval notation.
Step 6