Transcript Solving Inequalities

Solving Inequalities
What is an inequality?
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Better known as “pac-man’s”
Compares the left side to the right side.
Four different inequality symbols:
<
less than
>
greater than
≤
less than or equal to
≥
Greater than or equal to
Pac man eats the larger side so you can easily
remember which symbol is which.
How do I solve equations with them?
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Solve them just like regular equations.
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Distribute
Move plain numbers to the right
Move variables to the left
Solve.
KEEP YOUR INEQUALITY CORRECT!!
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Adding or subtracting will not change your symbol.
If you multiply or divide by a negative number you MUST flip
your inequality.
Example 1
Solve  3m  6  3
Answer: m ≥ 3
Example 2
Solve  2  d  23
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Example 3
Solve 7q  1  2 q  29
Example 4
Solve
9r  15  24  10r
Example 5
Solve 3w  5  2 w
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Example 6
Solve 7 + 3r ≤ 2(r+3) – 2(-1 – r)
Example 7
Solve 3y + 4 > 2(y+3) + y
What do their graphs look like?
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Back to the number line…
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Create your number line with at least three numbers on it
Decide if it should be an open or closed dot
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> or < open dot
≥ or ≤ closed dot
Figure out which way your arrow should go.
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Pac man eats the variable, shade right.
Pac man eats the number, shade left.
Graph Example 1 solution