Do Now: Decide whether the given number is a solution to the inequality.
Solution: 4 Inequality: 2x + 8 < 16 - 8 - 8 2x < 8
2 2
x < 4 - The given number is not a solution to the inequality.
3.1:
Graphing Simple Inequalities
After watching the video above on graphing, you need to match the inequality statements below in the document below with their corresponding graphs. 3.1 wikispace journal.doc
In your wikispace journal, explain your entire thought process (from your first match to your last) and how you narrowed down the choices and knew which graph matched which inequality statement.
Answer:
1. D ---> X is greater than or equal to -2.and because so, the circle is shaded and going to the right of the number line to the positive numbers. 2. A ---> X is less than -2 and because so, the circle is open and going to the left of the number line toward the negative numbers. 3. C ---> X is between both -2 and and positive 2 and causing the line to stop. Both the signs are less than but once circle is shaded and the other is not making one of the directions less then or equal to. 4. E ---> Because there is an 'OR' in the graph it makes the line brake into two lines going in opposite directions. The first equation has a greater than or equal to sign causing the line to go to the left toward the negative signs and the second equations has a less than sign causing the line to go in the opposite direction than equation one. 5. F ---> X is between the 2 equations making the line connect but stop at the points. Both signs are equal to but different directions. 6. B ---> ' OR ' is in between both the equation cause the lines to break and go in opposite direction of each other, but their signs are different.
3.2:
Summarize what we did in class today. Explain what similar features are shown in the graph x>5 as you would graph it on a number line and x>5 as you would graph it on a coordinate plane. Also explain the similarities of x<-3 as graphed on a number line and x<-3 on a coordinate plane. Explain how this same thinking applies to y<2x+1 ?? How do you know which side of the line should be shaded since the line is slanted? Be sure to explain the short-cut method as well as the algebraic method you could use to prove that the correct side of the line has been shaded.
Algebra 2 CP
Unit 3 Lesson 1 Do Now
Do Now: Decide whether the given number is a solution to the inequality.
Solution: 4
Inequality: 2x + 8 < 16
- 8 - 8
2x < 8
2 2
x < 4
- The given number is not a solution to the inequality.
3.1:
Graphing Simple InequalitiesAfter watching the video above on graphing, you need to match the inequality statements below in the document below with their corresponding graphs.
In your wikispace journal, explain your entire thought process (from your first match to your last) and how you narrowed down the choices and knew which graph matched which inequality statement.
Answer:
1. D ---> X is greater than or equal to -2.and because so, the circle is shaded and going to the right of the number line to the positive numbers.
2. A ---> X is less than -2 and because so, the circle is open and going to the left of the number line toward the negative numbers.
3. C ---> X is between both -2 and and positive 2 and causing the line to stop. Both the signs are less than but once circle is shaded and the other is not making one of the directions less then or equal to.
4. E ---> Because there is an 'OR' in the graph it makes the line brake into two lines going in opposite directions. The first equation has a greater than or equal to sign causing the line to go to the left toward the negative signs and the second equations has a less than sign causing the line to go in the opposite direction than equation one.
5. F ---> X is between the 2 equations making the line connect but stop at the points. Both signs are equal to but different directions.
6. B ---> ' OR ' is in between both the equation cause the lines to break and go in opposite direction of each other, but their signs are different.
3.2:
Summarize what we did in class today. Explain what similar features are shown in the graph x>5 as you would graph it on a number line and x>5 as you would graph it on a coordinate plane. Also explain the similarities of x<-3 as graphed on a number line and x<-3 on a coordinate plane. Explain how this same thinking applies to y<2x+1 ?? How do you know which side of the line should be shaded since the line is slanted? Be sure to explain the short-cut method as well as the algebraic method you could use to prove that the correct side of the line has been shaded.