Solving Inequalities

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Solving Inequalities
Have you ever experienced this situation? Youre
at an amusement park. Youre heart is pounding
because you finally made up your mind to ride the
new roller coaster that just opened up. You go
to get in line and you notice a sign that reads
YOU MUST BE TALLER THAN 54 INCHES TO RIDE THIS
RIDE. Luckily youve grown recently, and you are
able to ride the ride. Well, if h represent your
height, then hgt54 represents the height you must
be to ride the ride. This sentence is called an
inequality.(Not equal to) Inequalities are
sentences that compare quantities.
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Solving Inequalities

• gt Greater than
• lt Less than
• Greater than or equal to
• ? Less than or equal to

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Solving Inequalities
To solve an inequality, you can use your
knowledge of solving equations.
For example 5x 15 gt 17 Solve it like a
regular equation. 5x 15 17 5x
32 x 6.4 Now instead of x 6.4, your
answer would be x gt6.4
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Solving Inequalities
Special rule for inequalities WHEN MULTIPLYING
OR DIVIDING BY A NEGATIVE, THE SIGN FLIPS.
For example -2x ? 6 You are dividing both sides
by a negative 2, so the inequality sign will flip
to ?, so your answer would be x ? -3.
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Solving Inequalities
x -5? 18
x ? 23
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Solving Inequalities
-5x ? 25
x ? -5
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Solving Inequalities
9q 4 ? 22
q ? 2
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Solving Inequalities
m ? 18
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Solving and Graphing Inequalities
After finding your solution to the inequality,
you can graph your answer on a number line.
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Solving Inequalities
Find the number that matches your answer and draw
a circle on the number line..
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Solving and Graphing Inequalities
After you determine whether or not your circle
should be open or colored in, you need to
determine which way to draw the arrow.
Read what the inequality sign is saying, or if
the variable is on the left side of the
inequality sign, draw the arrow in the direction
the sign is pointing.
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Solving Inequalities
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Solving Inequalities
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Solving Inequalities
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Solving Inequalities
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Solving Inequalities
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Solving Inequalities
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Solving Inequalities
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Solving Inequalities
Special rule for inequalities WHEN MULTIPLYING
OR DIVIDING BY A NEGATIVE, THE SIGN FLIPS.
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Solving Inequalities
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Solving Inequalities
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Solving Inequalities
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Solving Inequalities
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Solving Inequalities
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Solving Inequalities