Compound Inequalities and EleanOR the ice skater with the word “OR”
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Compound Inequalities and EleanOR the ice skater with the word “OR”
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Transcript of Compound Inequalities and EleanOR the ice skater with the word “OR”
Compound Inequalities
andEleanOR theice 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)
EleanORthe skater!
Remember her when your
inequalities are joined by the word
“OR”
And you’ll be the champion!
