Question

The diagram rerpesents responses to a survey that include statements p and q . Which statement is true?

Answer 1

Answer:

c.The number of responses for which $p\wedge q$ is 46.

Step-by-step explanation:

We are given that a diagram represents responses to a survey that includes statements p and q.

We have to find which statement is true in the given option.

From given diagram

$p\wedge q=46$

$p/q=0$

$(p\vee q)'=20$

Option A is false because $p\wedge q=46$.

$p-q=p-p\wedge q=p-46$

$0=p-46$

$p=46$

$p\vee q=p+q-p\wedge q$

$p\vee q=46+46-46=46$

Because q=46

Hence, option c is true .

Answer:c.The number of responses for which $p\wedge q$ is 46.

Answer 2

Answer:

C. The number of responces $p\vee q$ is also 46

Step-by-step explanation:

Note that:

• $p\wedge q$ means both p and q must hold;
• $p\vee q$ means either p or q must hold.

From the diagram,

• the number of responses $p\wedge q$ is 46;
• the number of responces $p\vee q$ is also 46;
• the number of responces $p\setminus q$ is 0;
• the number of responces which are neuther p nor q is 20.

So, you can state that the correct answer is C