Back to Exercise: Subsets: Proper, Improper, and the Subsets Formula

Exercises: Subsets: Proper, Improper, and the Subsets Formula

Work through each section in order. Show your work where indicated. Use the symbols ⊆ (subset or equal), ⊂ (proper subset), and ∅ (empty set) as needed.

Grade 7·21 problems·~30 min·Uganda NCDC Primary 7 Mathematics·lesson·sets-02
Work through problems with immediate feedback
A

Recall / Warm-Up

These problems review set notation and membership from earlier work.

1.

Which statement correctly uses membership notation for the set B={2,4,6,8}B = \{2, 4, 6, 8\}?

2.

Is the set F={days of the week}F = \{\text{days of the week}\} a finite set or an infinite set?

B

Fluency Practice

1.

Given A={1,2}A = \{1, 2\} and B={1,2,3,4}B = \{1, 2, 3, 4\}, which statement is true?

2.

For the set B={5,6,7}B = \{5, 6, 7\}, which subset is the improper subset of BB?

Oval A inside oval B; oval C with element 5 sitting outside oval B
3.

Look at the diagram. Set A={1,2}A = \{1, 2\} is drawn inside set B={1,2,3,4}B = \{1, 2, 3, 4\}, while C={1,5}C = \{1, 5\} has one element outside BB. How many elements of CC lie OUTSIDE BB?

4.

A set has 33 elements. Using the subsets formula, how many subsets does it have in total?

5.

How many subsets does the set {a,b,c,d}\{a, b, c, d\} have?

6.

A set has 3232 subsets in total. How many elements does the set have?

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