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 is |x| ? | This is the distance from 0.
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| How many solutions are there for |x|=10 ? | There are two; x=10 and x=-10.
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| What symbol denotes a union between to absolute value inequalities? | U
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| What are you trying to find between two absolute value inequalities joined by the word, "and"? | The intersection.
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| What is the first step to solving |x|+5>2 ? | Isolate the AV by subtracting 5 from both sides. This means |x|>-3 and there is no solution.
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| If |x|< -2, how many solutions are there? | None; an AV inequality cannot equal a negative number.
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| When "a" is positive, then |x|=a is equivalent to what? | x=-a, a
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| What are the two forms of absolute value inequalities? | |x|>a and |x|<a
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| How would you solve |x|>a ? | Create two separate inequalities:
x>a and x<-a
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| How would you solve |x|<a | Use the form -a<|x|<a.
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