Questions: Let A=3,4,5,6,8,9 and B=5,7,9. Indicate if each statement is true or false. 10^* ∈ A Select an answer B ⊂ A Select an answer

Transcript text: Assignments Chapter 7 Reading Quiz Chapter 7 Reading Quiz Due Sunday by 11:59pm Points 50 Submitting an external tool Available Oct 13 at 11:59pm - Oct 20 at 11:59 pm Chapter 7 - Reading Quiz Score: 0/50 0/9 answered Progress saved Done Question 1 $0 / 2$ pts 5 Let $A=\{3,4,5,6,8,9\}$ and $B=\{5,7,9\}$. Indicate if each statement is true or false. $10^{\star} \in A$ Select an answer $B \subset A$ Select an answer Question Help: Video Submit Question

Solution

Solution Steps

Solution Approach

To determine if $10^{\star} \in A$, we need to check if the element $10^{\star}$ is present in set $A$.
To determine if $B \subset A$, we need to check if all elements of set $B$ are also elements of set $A$.

Step 1: Check if $10^{\star} \in A$

We need to determine if $10^{\star}$ is an element of the set $A = \{3, 4, 5, 6, 8, 9\}$. Since $10^{\star}$ is not present in set $A$, we conclude that: \[ 10^{\star} \in A \quad \text{is} \quad \text{False} \]

Step 2: Check if $B \subset A$

Next, we check if set $B = \{5, 7, 9\}$ is a subset of set $A$. For $B$ to be a subset of $A$, every element in $B$ must also be in $A$. The element $7$ is not in $A$, therefore: \[ B \subset A \quad \text{is} \quad \text{False} \]