Question

let sets a and b be defined as follows.
a is the set of integers greater than -9 and less than -1
b = {h, l, r, t, v, y}
(a) find the cardinalities of a and b.
n(a) =
n(b) =
(b) select true or false.

true

false

-8 ∈ a | ○ | ○
-13 ∈ a | ○ | ○
l ∈ b | ○ | ○
s ∉ b | ○ | ○

Explanation:

Part (a)

Step1: List elements of set A

Integers: $-8, -7, -6, -5, -4, -3, -2$

Step2: Count elements of A

$n(A)=7$

Step3: Count elements of B

Elements: $h,l,r,t,v,y$ → $n(B)=5$

Part (b)

Step1: Check $-8 \in A$

$-9 < -8 < -1$ → True

Step2: Check $-13 \in A$

$-13 < -9$ → False

Step3: Check $l \in B$

$l$ is in set $B$ → True

Step4: Check $s

otin B$
$s$ not in set $B$ → True

Answer:

Part (a)

$n(A)=7$, $n(B)=5$

Part (b)

Statement	True	False
$-13 \in A$		$\bigcirc$
$l \in B$	$\bigcirc$

| $s
otin B$ | $\bigcirc$ | |