Absolute Value Equations and 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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What symbol denotes a union between two absolute value inequalities? | U
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What are you trying to find between two absolute value ineualites joined by thr word "and"? | Intersection
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What are you trying to find between two absolute value inequalites joined by the word "or"? | Union
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What is the first step when solving: (av)5y-1(av)-7=4 | Isolate the absolute value by adding 7 to both sides.
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When a is positive, then (av)x(av)=a is equivalent to: | x=a, or x=-a
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When a is positive, then (av)x(av) | -a < x < a
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When a is positive, then (av)x(av)>a is equal to: | x<-a or x>a
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Without having to solve, which form would the answer to this inequality be in? (av)x-3(av)>7 Either: (-8,20) or (-infinity, -8) U (20, infinity) | (-infinity, -8) U (20, infinity) Because this inequality is in the form (av)x(av)>a
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Why does the solution for (av)x(av)>a require two solution sets? | Because absolute value means "distance from zero," "greater than" can be a number either to the right or left of the zero. This can require to sets of numbers.
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Created by:
icanreed
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