Curlybrace BarnabyRulekeepers · expressions and properties

Curly-brace moustache and a net of treasures: sets and set notation.

Sets and Set Notation

Sets and set notation. In MathBound, the free Algebra I adventure game, Curlybrace Barnaby asks these problems, and the only way past is to solve them.

Part of More topics: taught by some textbooks beyond the usual course.

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10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Sets and Set Notation. Read and write roster and set-builder notation, and decide membership.

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · Sets and Set Notation

Which

is

the

set

of

whole

numbers

less

than

7,

in

roster

form?

${1, 2, 3, 4, 5, 6}$
${0, 1, 2, 3, 4, 5, 6, 7}$
${1, 2, 3, 4, 5, 6, 7}$
${0, 1, 2, 3, 4, 5, 6}$

Show the worked steps

$Roster$ $form$ $lists$ $every$ $element$ $between$ $braces.$
$The$ $whole$ $numbers$ $less$ $than$ $7 : {0, 1, 2, 3, 4, 5, 6} .$

Answer: ${0, 1, 2, 3, 4, 5, 6}$

Example 2 · Sets and Set Notation

Write

{x ∣ x

is

an

integer

and

0 < x \leq 4}

in

roster

form.

${0, 1, 2, 3}$
${0, 1, 2, 3, 4}$
${1, 2, 3}$
${1, 2, 3, 4}$

Show the worked steps

$The$ $ends$ $0$ $and$ $4$ $are$ $out$ $and$ $in,$ $as$ $the$ $signs$ $say.$
${1, 2, 3, 4} .$

Answer: ${1, 2, 3, 4}$

Example 3 · Sets and Set Notation

Let

A = {1, 7, 8}

and

B = {1, 5, 7, 8, 9, 11} .

Which

statement

is

true?

$5 \in / B$
$A = B$
$8 \in / A$
$8 \in A$

Show the worked steps

$Every$ $element$ $of$ $A i s in B, but$ $5 i s in B$ $only,$ $and$ $12$ $is$ $in$ $neither.$
$So$ $8 \in A .$

Answer: $8 \in A$

Where it is in your textbook

Textbook	Lessons
Math Nation Algebra 1 (Florida B.E.S.T.)	4.1
Pearson Algebra 1 Common Core	3-5, 3-8

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