Calculus Examples

Convert to Interval Notation 1-(x^2)/6<(xsin(x))/(2-2cos(x))<1
Step 1
Factor out of .
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Step 1.1
Factor out of .
Step 1.2
Factor out of .
Step 1.3
Factor out of .
Step 2
Multiply each term in the inequality by .
Step 3
Simplify each term.
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Step 3.1
Multiply by .
Step 3.2
Apply the distributive property.
Step 3.3
Multiply by .
Step 3.4
Multiply by .
Step 3.5
Cancel the common factor of .
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Step 3.5.1
Move the leading negative in into the numerator.
Step 3.5.2
Factor out of .
Step 3.5.3
Cancel the common factor.
Step 3.5.4
Rewrite the expression.
Step 3.6
Move the negative in front of the fraction.
Step 3.7
Apply the distributive property.
Step 3.8
Multiply by .
Step 3.9
Multiply .
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Step 3.9.1
Multiply by .
Step 3.9.2
Multiply by .
Step 3.9.3
Combine and .
Step 4
Rewrite using the commutative property of multiplication.
Step 5
Cancel the common factor of .
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Step 5.1
Cancel the common factor.
Step 5.2
Rewrite the expression.
Step 6
Cancel the common factor of .
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Step 6.1
Cancel the common factor.
Step 6.2
Rewrite the expression.
Step 7
Multiply by .
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
Convert the inequality to interval notation.
Step 11