Absolute Value Equations & Inequalities
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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TRUE OR FALSE: An absolute value equation can equal 0. | FALSE
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|x| = A is equivalent to: | X = A OR X = -A
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|x| < A is equivalent to: | -A < X < A
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|x| > A is equivalent to: | X < -A OR X > A
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SOLVE: |x + 4| = -8 | NO SOLUTION
Absolute value's are always positive, and can not equal anything negative.
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SOLVE: |x + 8| < -4 | NO SOLUTION
Absolute value's are always positive, and can never be less than a negative number.
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SOLVE: |x| > -6 | (-infinity,infinity)
No matter what x's value is, it will always be positive, which is greater than a negative.
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SOLVE: |x| > 4 | (-infinity,-4)U(4,infinity)
Any number (negative or positive) greater than 4 is a solution. Parenthesis are used to denote the solution is NOT EQUAL TO.
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SOLVE: |x| < 5 | -5 < x < 5
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SOLVE: |x + 2| > 6 | x + 2 > 6 OR x + 2 < -6
x > 4 OR x < -8
(-infinity,-8)U(4,infinity)
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Created by:
along500
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