Pre-Algebra Examples

Solve for x -5/9x-1/9<1/3
Step 1
Simplify each term.
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Step 1.1
Combine and .
Step 1.2
Move to the left of .
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
To write as a fraction with a common denominator, multiply by .
Step 2.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 2.3.1
Multiply by .
Step 2.3.2
Multiply by .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Add and .
Step 3
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
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
Move the negative in front of the fraction.
Step 5
The result can be shown in multiple forms.
Inequality Form:
Interval Notation: