3-6 Compound Inequalities. Compound Inequality: Consists of two distinct inequalities joined by the...
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Transcript of 3-6 Compound Inequalities. Compound Inequality: Consists of two distinct inequalities joined by the...
![Page 1: 3-6 Compound Inequalities. Compound Inequality: Consists of two distinct inequalities joined by the word and or the word or.](https://reader035.fdocuments.net/reader035/viewer/2022062421/56649d975503460f94a80a34/html5/thumbnails/1.jpg)
3-6 Compound Inequalities
![Page 2: 3-6 Compound Inequalities. Compound Inequality: Consists of two distinct inequalities joined by the word and or the word or.](https://reader035.fdocuments.net/reader035/viewer/2022062421/56649d975503460f94a80a34/html5/thumbnails/2.jpg)
Compound Inequality: Consists of two distinct inequalities joined by the word and or the word or
![Page 3: 3-6 Compound Inequalities. Compound Inequality: Consists of two distinct inequalities joined by the word and or the word or.](https://reader035.fdocuments.net/reader035/viewer/2022062421/56649d975503460f94a80a34/html5/thumbnails/3.jpg)
𝟑≤ 𝒙≤𝟕
![Page 4: 3-6 Compound Inequalities. Compound Inequality: Consists of two distinct inequalities joined by the word and or the word or.](https://reader035.fdocuments.net/reader035/viewer/2022062421/56649d975503460f94a80a34/html5/thumbnails/4.jpg)
![Page 5: 3-6 Compound Inequalities. Compound Inequality: Consists of two distinct inequalities joined by the word and or the word or.](https://reader035.fdocuments.net/reader035/viewer/2022062421/56649d975503460f94a80a34/html5/thumbnails/5.jpg)
Problem 1: Writing Compound Inequality
What compound inequality represents the phrase? Graph the solutions.
All real numbers that are greater than –2 and less than 6
![Page 6: 3-6 Compound Inequalities. Compound Inequality: Consists of two distinct inequalities joined by the word and or the word or.](https://reader035.fdocuments.net/reader035/viewer/2022062421/56649d975503460f94a80a34/html5/thumbnails/6.jpg)
What compound inequality represents the phrase? Graph the solutions.
All real numbers that are less than 0 or greater than or equal to 5
![Page 7: 3-6 Compound Inequalities. Compound Inequality: Consists of two distinct inequalities joined by the word and or the word or.](https://reader035.fdocuments.net/reader035/viewer/2022062421/56649d975503460f94a80a34/html5/thumbnails/7.jpg)
Problem 2: Solving a Compound Inequality Involving And
What are the solutions of ?
Graph the solutions.
![Page 8: 3-6 Compound Inequalities. Compound Inequality: Consists of two distinct inequalities joined by the word and or the word or.](https://reader035.fdocuments.net/reader035/viewer/2022062421/56649d975503460f94a80a34/html5/thumbnails/8.jpg)
What are the solutions of ?
Graph the solutions.
![Page 9: 3-6 Compound Inequalities. Compound Inequality: Consists of two distinct inequalities joined by the word and or the word or.](https://reader035.fdocuments.net/reader035/viewer/2022062421/56649d975503460f94a80a34/html5/thumbnails/9.jpg)
Problem 4: Solving Compound Inequality Involving OR
What are the solutions of
Graph Solutions
![Page 10: 3-6 Compound Inequalities. Compound Inequality: Consists of two distinct inequalities joined by the word and or the word or.](https://reader035.fdocuments.net/reader035/viewer/2022062421/56649d975503460f94a80a34/html5/thumbnails/10.jpg)
Interval Notation: includes the use of three special symbols
Parentheses: Use ( or ) when a < or > symbol indicates that the interval’s endpoints are NOT included
Brackets: Use [ or ] when a symbol indicates that the interval’s endpoints ARE included
Infinity: Use when the interval continues forever in the POSITIVE direction. Use
when the interval continues forever in a NEGATIVE direction
![Page 11: 3-6 Compound Inequalities. Compound Inequality: Consists of two distinct inequalities joined by the word and or the word or.](https://reader035.fdocuments.net/reader035/viewer/2022062421/56649d975503460f94a80a34/html5/thumbnails/11.jpg)
Problem 5: Using Interval Notation
What is the graph of How do you write as an inequality?
![Page 12: 3-6 Compound Inequalities. Compound Inequality: Consists of two distinct inequalities joined by the word and or the word or.](https://reader035.fdocuments.net/reader035/viewer/2022062421/56649d975503460f94a80a34/html5/thumbnails/12.jpg)
• What is the graph of ?• How do you write in interval notation