Transcript Section 6.3

Section 6.3
SOLVING MULTI-STEP
LINEAR
INEQUALITIES
If you multiply or divide by a
Key Rule for
negative #, you must flip the
inequalities
inequality
7 x  30  19
 30  30
7 x  49
7
x7
7

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6
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7
8
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2 x  3  6 x 1
 2x
 2x
3  4x 1
1
1
4  4x
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

-1
4
x
4
1 x
0
1
6 x  3  3( x  2)
6x  3  3x  6
3x  3  6
3x  3
x 1
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

0
1
2
7  5x  9  4 x
7  9 x
2  x
𝑥 < −2
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

-2
-1
0
2
 x  8  4
3
3
− ∗
2
2
 x4
3
3
* −2
FLIP THE SIGN!
x  6
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

-7
-6
-5
A water park charges $12 for admission and $5 to park your vehicle.
Write an inequality that represents the possible number of people that
could go for $50. Solve the inequality. What is the maximum number of
people that could go?
12x  5  50
12 x  45
x  3.75
The maximum number
of people that could go
to the water park is
3
You want to go to the state fair and try your luck playing the games on the
midway. The entrance fee is $5 and the games are $1.50 . Write an inequality
that represents the possible number of games you can play if you have $25.
Solve the inequality. What is the maximum number of games you can play?
1.50x  5  25
1.50x  20
The maximum number of game
x  13.3
you can play is
13
5(b  9)  5b  46
5b  45  5b  46
5b
5b
45  46
This is a true statement
All Real
Numbers
6( x  3)  5 x  18  x
6x 18  6x 18
 6x
 6x
18  18
This is a false statement
No Solution