Convert to Set Notation |7t-2|<=12

Math
Solve .
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Write as a piecewise.
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To find the interval for the first piece, find where the inside of the absolute value is non-negative.
Solve the inequality.
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Add to both sides of the inequality.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
In the piece where is non-negative, remove the absolute value.
To find the interval for the second piece, find where the inside of the absolute value is negative.
Solve the inequality.
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Add to both sides of the inequality.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
In the piece where is negative, remove the absolute value and multiply by .
Write as a piecewise.
Simplify .
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Apply the distributive property.
Multiply by .
Multiply by .
Solve when .
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Solve for .
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Move all terms not containing to the right side of the inequality.
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Add to both sides of the inequality.
Add and .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Divide by .
Find the intersection of and .
Solve when .
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Solve for .
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Move all terms not containing to the right side of the inequality.
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Subtract from both sides of the inequality.
Subtract from .
Divide each term by and simplify.
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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.
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Find the intersection of and .
Find the union of the solutions.
Use the inequality to build the set notation.
Convert to Set Notation |7t-2|<=12

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