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6-1-6-2-inequalities.ppt
1.
6.1 6.2 Inequalities >
< < > = >
2.
Objective: Solve and graph inequalities
3.
Graphing a linear
Equality with one variable….. x = 3 Notice the circle is closed.
4.
Graphing a linear inequality
with one variable….. x < 4 Notice the circle is open
5.
Graphing an Inequality with
one variable….. x > -3 Notice the circle is closed
6.
p + 6
> 4 - 6 - 6 p > -2 Solving an inequality
7.
Graph x <
-3 What numbers make this true? -8, -100
8.
-3 < x
- 2 +2 +2 -1 < x Same as x > -1 -1 0 -1 is less than what #’s?
9.
4x - 3
> x + 6 -x -x 3x - 3 > 6 +3 +3 3x > 9 X > 3
10.
Solve - 4 <
3x + 1 -4 -1 < 3x + 1 - 1 -5 < 3x -5/3 < 3x/3 -5/3 < x
11.
3 > x
same as x < 3 x < 4
12.
Solving a linear
Inequality -x < 4 -x/-1 < 4/-1 x -4 > The sign flips when you multiply or divide by a negative.
13.
Solve n > 4 -3 n
> 4 -3 (-3) (-3) < n < - 12 Check your answer. -21 < -12 -21 7
14.
2n + 5
> 0 - 5 -5 2n > -5 __ __ 2 2 n > -5/2
15.
Thought for the
day: You can’t run away from your conscience.
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