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Published byMolly Oliver Modified over 9 years ago
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Compound Inequalities and EleanOR the ice skater with the word “OR”
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Graphs pointing the same way Graph the inequalities on two separate number lines drawn one above the other X>5 5(--------------------------- X>7 7(---------------- EleanOR can skate on either foot as long as she has ice under her. In this case, she can start skating on her left foot at 5 and skate all the way to + infinity ANSWER (5, + oo)
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Graphs pointing opposite ways - overlap Graph the inequalities on two separate number lines drawn one above the other X>5 5(--------------------------- -------------------------------------)9 x<9 EleanOR can skate on either foot as long as she has ice under her. In this case, she can start skating on her right foot at - infinity and skate on her left foot all the way to + infinity. ANSWER: ( - oo, + oo)
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Graphs pointing opposite ways – NO overlap Graph the inequalities on two separate number lines drawn one above the other X>5 5(--------------------------- ----------)2 x<2 EleanOR can skate on either foot as long as she has ice under her. In this case, she can start skating on her right foot at - infinity, and skate all the way to 2. Then she needs to hop on a golf cart to get to 5, at which point she can skate on her left foot all the way to + infinity. ANSWER: ( - oo, 2) U (5, + oo)
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Graphs pointing opposite ways – almost overlap Graph the inequalities on two separate number lines drawn one above the other X>5 5(--------------------------- ----------)5 x<5 EleanOR can skate on either foot as long as she has ice under her. She can start skating on her right foot at – infinity and skate all the way to 5. Then she needs to hop over 5 and skate on her left foot all the way to + infinity ANSWER: ( - oo, 5) U (5, + oo)
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EleanOR the skater! Remember her when your inequalities are joined by the word “OR” And you’ll be the champion!
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