For each Compound Inequality listed below, identify 4 solutions and 4 non-solutions, unless the solution set includes all real numbers or there are no solutions.
-
Solutions for intersections (which use and) will make both of the expressions
true
. -
Solutions for unions (which use or) will make at least one of the expressions
true
.
Pay special attention to the numbers in the sample expression! Challenge yourself to use negatives, positives, fractions, decimals, etc.
The first two have been done for you - Answers will vary!
Expression | 4 solutions that evaluate to true |
4 non-solutions that evaluate to false |
|
---|---|---|---|
a |
|
6, 9.5, 12, 14.9 |
-2, 5, 15, 16.1 |
b |
|
All real numbers |
No non-solutions |
c |
|
||
d |
|
||
e |
|
||
f |
|
||
g |
|
||
h |
|
||
i |
|
1 Could there ever be a union with no solutions? Explain your thinking.
2 Could there ever be an intersection whose solution is all real numbers? Explain your thinking.
These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, 1738598, 2031479, and 1501927).
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