Compound Inequalities and EleanOR the ice skater with the word “OR”

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Presentation transcript:

Compound Inequalities and EleanOR the ice skater with the word “OR”

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)

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)

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)

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)

EleanOR the skater! Remember her when your inequalities are joined by the word “OR” And you’ll be the champion!