Finite Math Examples

Solve for x -(2(x-1)-7)<=9x-(3-x)
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 .
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Step 2.1.3.1
Multiply by .
Step 2.1.3.2
Multiply by .
Step 2.2
Add and .
Step 3
Simplify .
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Step 3.1
Simplify each term.
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Step 3.1.1
Apply the distributive property.
Step 3.1.2
Multiply by .
Step 3.2
Simplify by multiplying through.
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Step 3.2.1
Subtract from .
Step 3.2.2
Apply the distributive property.
Step 3.2.3
Multiply.
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Step 3.2.3.1
Multiply by .
Step 3.2.3.2
Multiply by .
Step 4
Move all terms containing to the left side of the inequality.
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Step 4.1
Add to both sides of the inequality.
Step 4.2
Add and .
Step 5
Move all terms not containing to the right side of the inequality.
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Step 5.1
Add to both sides of the inequality.
Step 5.2
Add and .
Step 6
Divide each term in by and simplify.
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Step 6.1
Divide each term in by .
Step 6.2
Simplify the left side.
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Step 6.2.1
Cancel the common factor of .
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Step 6.2.1.1
Cancel the common factor.
Step 6.2.1.2
Divide by .
Step 6.3
Simplify the right side.
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Step 6.3.1
Divide by .
Step 7
The result can be shown in multiple forms.
Inequality Form:
Interval Notation: