Date______________
Name: __________________________________
CC Algebra
| |(diagram) | |
|Interval Notation: (description) | |Notation |
|Open to Infinity: x > a where a is not included and infinity is | | |
|always expressed as being "open" (not included). | | |
|Closed to Infinity: x ≥ a where a is included and infinity is always| | |
|expressed as being "open" (not included). | | |
|Infinity to Open: x < a where a is not included and infinity is | | |
|always expressed as being "open" (not included). | | |
|Infinity to Closed: x ≤ a where a is included and infinity is always | | |
|expressed as being "open" (not included). | | |
Ex 1:
|Inequality |Number Line Graph |Interval |Set Builder Notation |
| | |Notation | |
|x < 4 | | | |
|“x is less than 4” | | | |
|x > - 2 | | | |
|“x is greater than -2” | | | |
|x ≤ -1 | | | |
|“x is less than or equal to -1” | | | |
| x [pic] 0 | | | |
|“x is greater than or equal to 0” | | | |
Ex2: Write the set of all numbers greater than 5 inclusive in interval notation?
Ex 3: For the graph below, write:
A) Inequality: __________________
B) Interval Notation: __________________
C) Set Builder Notation: ________________
Ex 4:
a. Solve for x and graph the solution on the number line:
2x < 8
b. Write the inequality in interval notation.
c. Write the inequality in set builder notation.
Ex 5: Solve, Graph & Write your solution in interval notation
1) 2(3x 8) ≤10 3) 6 > 12 + 3x
2) 2(x + 4) < 14 4) 4x – 3 + x + 8 ≥ 20
Name: ____________________________________ Date: ______________
Teacher: __________________________________
Inequalities Homework
For questions 1 – 4 Solve, Graph on a number line, then write the solution in interval notation
|2(3x – 8) ≤ 10 |3) 6 > 12 + 3x |
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|2(x + 4) < 10 |4) 4x – 3 + x + 8 ≥ 20 |
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|5) Using the graph write: |7) |
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| |A) Write the set of all numbers less than 3 exclusive in interval notation? |
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|A) As an inequality: _______________ | |
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|B) Interval Notation: _______________ |B) Express in interval notation: 6 < x |
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|C) Set Builder Notation: _______________ | |
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|6) A) Solve: x – 5 < -9. |8) A) Solve: 6x ≥ 18 |
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|B) Graph the solution on a number line. |B) Graph the solution on a number line. |
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|Express the solution in: |Express the solution in: |
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|C) Interval Notation: _______________ |C) Interval Notation: _______________ |
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|D) Set Builder Notation: _______________ |D) Set Builder Notation: ______________ |
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-----------------------
Remember…when graphing
Open Circle: < or > (Exclusive)
Closed Circle: ( or ( (Inclusive)
3
2
1
0
-1
-3
-2
4
3
2
1
0
-2
-1
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