Algebra Examples

Convert to Interval Notation -8<=(-3x+1)/4<=9
Step 1
Factor out of .
Step 2
Rewrite as .
Step 3
Factor out of .
Step 4
Simplify the expression.
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Step 4.1
Rewrite as .
Step 4.2
Move the negative in front of the fraction.
Step 5
Multiply each term in the inequality by .
Step 6
Multiply by .
Step 7
Cancel the common factor of .
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Step 7.1
Move the leading negative in into the numerator.
Step 7.2
Cancel the common factor.
Step 7.3
Rewrite the expression.
Step 8
Apply the distributive property.
Step 9
Multiply.
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Step 9.1
Multiply by .
Step 9.2
Multiply by .
Step 10
Multiply by .
Step 11
Move all terms not containing from the center section of the inequality.
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Step 11.1
Subtract from each section of the inequality because it does not contain the variable we are trying to solve for.
Step 11.2
Subtract from .
Step 11.3
Subtract from .
Step 12
Divide each term in the inequality by .
Step 13
Divide by .
Step 14
Cancel the common factor of .
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Step 14.1
Cancel the common factor.
Step 14.2
Divide by .
Step 15
Move the negative in front of the fraction.
Step 16
Rewrite the interval so that the left value is less than the right value. This is the correct way to write an interval solution.
Step 17
Convert the inequality to interval notation.
Step 18