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

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Recall / Warm-Up

These problems review set notation and membership from earlier work.

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

$4 \notin B$

$4 \in B$

$5 \in B$

$\{4\} \in B$

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

Infinite — the days keep repeating week after week.

Neither — a set of days cannot be measured.

Finite — it has exactly 7 elements, which you can count.

Fluency Practice

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

$A \in B$

$B \subseteq A$

$A \subseteq B$

$A \notsubseteq B$

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

$\{5, 6\}$

$\varnothing$

$\{5\}$

$\{5, 6, 7\}$

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

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

A set has $3$ elements. Using the subsets formula, how many subsets does it have in total?

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

A set has $32$ subsets in total. How many elements does the set have?

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