Test
Sets and absolute value
This test covers union, intersection and difference of sets and their representation with Venn diagrams. Absolute-value tasks develop interpretation as distance on a number line, equation solving and reasoning about real numbers.
Time left: 00:00:00
Sample questions
- Set A has ___ elements, B has ___, and their intersection has ___. How many are in A ∪ B?
- A ∪ B has ___ elements, A has ___, and B has ___. How many are in A ∩ B?
- A has ___ elements and A ∩ B has ___. How many are in A \ B?
- Calculate the value of the expression: |___ − (___)| + |___ + (___)|.
- Solve the equation: |x − (___)| = ___.
Sets and absolute value
A set can be specified by listing its elements or by a defining property. The union A ∪ B contains elements in at least one set, the intersection A ∩ B those in both, and the difference A B those in A but not B.
Absolute value and distance
The absolute value |x| is the distance from zero and is therefore non-negative. For a > 0, |x| = a gives x = a or x = −a. The inequality |x| < a describes points between −a and a, while |x| > a describes points outside. Include endpoints only when the inequality permits equality.
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