Solving Inequalities Using Addition and Subtraction.
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Transcript of Solving Inequalities Using Addition and Subtraction.
![Page 1: Solving Inequalities Using Addition and Subtraction.](https://reader036.fdocuments.us/reader036/viewer/2022082510/5a4d1b457f8b9ab0599a3195/html5/thumbnails/1.jpg)
Solving Inequalities Using Addition and Subtraction
![Page 2: Solving Inequalities Using Addition and Subtraction.](https://reader036.fdocuments.us/reader036/viewer/2022082510/5a4d1b457f8b9ab0599a3195/html5/thumbnails/2.jpg)
Definitions• The solution of an inequality is the set of
numbers that make it true.
• There are four signs:
, , ,and
![Page 3: Solving Inequalities Using Addition and Subtraction.](https://reader036.fdocuments.us/reader036/viewer/2022082510/5a4d1b457f8b9ab0599a3195/html5/thumbnails/3.jpg)
Key Words
< less than, fewer than, below > greater than, more than, above, exceeding ≤ less than or equal to, at most, not above ≥ no less than, at least, no fewer than
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Let’s look at a coupleTrue or false (hands up for true, no hands for false) :
5 2 2 4
10 7
14 8 15 16
12 12
![Page 5: Solving Inequalities Using Addition and Subtraction.](https://reader036.fdocuments.us/reader036/viewer/2022082510/5a4d1b457f8b9ab0599a3195/html5/thumbnails/5.jpg)
Ex. 1
7 3x
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Now we graph it
• > and < are open circles
• are closed circlesand
![Page 7: Solving Inequalities Using Addition and Subtraction.](https://reader036.fdocuments.us/reader036/viewer/2022082510/5a4d1b457f8b9ab0599a3195/html5/thumbnails/7.jpg)
x > -4
0 5 10510
![Page 8: Solving Inequalities Using Addition and Subtraction.](https://reader036.fdocuments.us/reader036/viewer/2022082510/5a4d1b457f8b9ab0599a3195/html5/thumbnails/8.jpg)
In your notes
9 7x
0 5 10510
![Page 9: Solving Inequalities Using Addition and Subtraction.](https://reader036.fdocuments.us/reader036/viewer/2022082510/5a4d1b457f8b9ab0599a3195/html5/thumbnails/9.jpg)
Again
10 4x
0 5 10510
![Page 10: Solving Inequalities Using Addition and Subtraction.](https://reader036.fdocuments.us/reader036/viewer/2022082510/5a4d1b457f8b9ab0599a3195/html5/thumbnails/10.jpg)
Ex 2
• To get an A in class, Jack needs at least 1000 points. He has already earned 360 points. How many more points does he need for an A?
![Page 11: Solving Inequalities Using Addition and Subtraction.](https://reader036.fdocuments.us/reader036/viewer/2022082510/5a4d1b457f8b9ab0599a3195/html5/thumbnails/11.jpg)
Closure
• Working with a partner, write and solve an inequality:
• Mark is saving up for an xbox. It costs $360 and he has already saved up $100. How much more does he need?