Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator...
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Transcript of Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator...
![Page 1: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/1.jpg)
Solving Linear Inequalities
Remember….
“I’m bigger than you are….” >OR“The alligator eats the bigger number….”
<
![Page 2: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/2.jpg)
Solving an inequality with a variable on one side
5y – 8 < 12
![Page 3: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/3.jpg)
You do: 11y – 9 > 13
Solving an inequality with a variable on one side
![Page 4: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/4.jpg)
2x + 1 < 6x - 1
Solving an inequality with a variable on both sides
![Page 5: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/5.jpg)
You do: 7x + 9 > 10 x -12
Solving an inequality with a variable on both sides
![Page 6: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/6.jpg)
-2 < x < 1
A COMPOUND INEQUALITY is two simple inequalities joined by “and” or “or”.
x < -1 or x > 2
All real numbers that are greater than or equal to -2 AND less than 1.
All real numbers that are less than -1 OR greater than or equal to 2
![Page 7: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/7.jpg)
Solving an “AND” compound inequality
-2 < 3t – 8 < 10
![Page 8: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/8.jpg)
Solving an “AND” compound inequality
You do: -9 < y + 4 < 10
![Page 9: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/9.jpg)
Solving an “OR” compound inequality
2x + 3 < 5 or 4x – 7 >9
![Page 10: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/10.jpg)
Solving an “OR” compound inequality
You do: 6x + 9 < 3 or 3x – 8 > 13
![Page 11: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/11.jpg)
Solving Linear Inequalities
Remember….
“I’m bigger than you are….” >OR“The alligator eats the bigger number….”
<
![Page 12: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/12.jpg)
Solving an Absolute Value Equation
The absolute value of a number |x| is the distance the number is from 0 on a number line.
|x| = 5
|2x - 5| = 9
![Page 13: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/13.jpg)
Solving an Absolute Value Equation
You do: |6x - 3| = 15
![Page 14: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/14.jpg)
Solving an Absolute Value Equation
2|3x - 3|+ 5 = 13
![Page 15: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/15.jpg)
Solving an Absolute Value Equation
You do: -|3x + 8|-6 = 15
![Page 16: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/16.jpg)
Solving an Absolute Value Inequality of the form: |ax + b| < c
|2x + 7| < 11
Less thand
-c < |ax + b| < c
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Solving an Absolute Value Inequality of the form: |ax + b| < c
You do: |4x - 9| < 21
-c < |ax + b| < c
![Page 18: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/18.jpg)
Solving an Absolute Value Inequality of the form: |ax + b| < c
You do: 2|x - 5| - 8 < 20
-c < |ax + b| < c
![Page 19: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/19.jpg)
Solving an Absolute Value Inequality of the form: |ax + b| > c
|3x - 2| > 8
ax + b < -c or ax + b > c
Greator than
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Solving an Absolute Value Inequality of the form: |ax + b| > c
You do: |-x + 1| > 15
ax + b < -c or ax + b > c
![Page 21: Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf791a28abf838c82966/html5/thumbnails/21.jpg)
Solving an Absolute Value Inequality of the form: |ax + b| > c
You do: 3|-2x| > 15
ax + b < -c or ax + b > c