Compound Inequalities
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
|
|
||||
|---|---|---|---|---|---|
| If A = {x | x is an odd integer}, B = {x | x is an even integer}, C = {2,3,4,5}, and D = {18,19,20,21} list the element(s) of the following set. C ∪ D | Begin by listing the elements in set C. Then list the elements in set D. To find the union of the set C and set D, find the elements that are common to either one or the other set, or two both sets.
C ∪ D = {2,3,4,5,18,19,20,21}
🗑
|
||||
| If A = {x | x is an even integer}, B = {x | x is an odd integer}, C = {2,3,4,5}, and D = {22,23,24,25} list the element(s) of the following set. A ∩ D | Begin by listing the elements in set A. Then list the elements in set D. To find the intersection of set A and set D, find the elements that are common to both sets.
A ∩ D = {22,24}
🗑
|
||||
| If A = {x | x is an odd integer}, B = {x | x is an even integer}, C = {2,3,4,5}, and D = {2,3,4,5} list the element(s) of the following set. A ∩ D | A ∩ D = {3,5}
🗑
|
||||
| Solve the compound inequality. x < 6 and x > -4 | First, find the interval for the inequality x < 6. Next, find the interval for the inequality x > -4. Note that the inequality uses the word "and." Find the set of points which satisfies both inequalities.
(-4,6)
🗑
|
||||
| Solve the compound inequality. x ≤ 1 and x ≥ 2 | There is no solution. ∅
🗑
|
||||
| Solve the compound inequality. x < -1 and x <1 | (-∞,-1)
🗑
|
||||
| Solve the following compound inequality. Write the solution set in interval notation. x + 11 ≥ 3 and 7x - 12 ≥ 2 | x + 11 ≥ 3 and 7x - 12 ≥ 2
x ≥ 3 - 11 and 7x ≥ 2 + 12
x ≥ -8 and x ≥ (2 + 12)/7
x ≥ 2
Graph the solutions to the above inequalities.
The solution set to x + 11 ≥ 3 and 7x - 12 ≥ 2 in interval notation is [2,∞).
🗑
|
||||
| Solve the following compound inequality. Write the solution set in interval notation. x + 10 ≥ 7 and 6x - 4 ≥ 2 | The solution set in interval notation is [1,∞)
🗑
|
||||
| Solve the compound inequality. 10 < x - 9 < 21 | 10 < x - 9 < 21 - This is the original compound inequality.
10 + 9 < x - 9 + 9 < 21 + 9 -Add 9 to all three parts.
19 < x < 30 - Simplify.
The solution set in compact form is 19 < x < 30. Thus, the solution set in interval notation is (19,30).
🗑
|
||||
| Solve the compound inequality. Write the solution in interval notation. x ≤ -5 or x ≥ 6 | The solution set to x ≤ -5 in interval notation is (-∞,-5].
The solution set to x ≥ 6 in interval notation is [6,∞)
Thus, the solution set in interval notation is (-∞,-5] ∪ [6,∞)
🗑
|
Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Created by:
gault_timothy
Popular Math sets