Help
Options
Didn't know it?
click below
click below
Knew it?
click below
click below
Don't Know
Remaining cards (0)
Know
retry
shuffle
restart
0:00
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
Module 8 - Comp Ineq
Compound Inequalities
| Question | Answer |
|---|---|
| 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,∞) |
Created by:
gault_timothy
Popular Math sets