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Let p be "it is raining" and q be "the track meet will be canceled."<br> write p->q in words

trasher [3.6K]

The statement for the logic $\text{p}\rightarrow\text{q}$ is $\fbox{\begin\\\ \text{If it is raining then the track meet will be cancelled}\\\end{minispace}}$

Further explanation:

The logic given in the question is $\text{p}\rightarrow\text{q}$ .

The logic $\text{p}\rightarrow\text{q}$ is a symbol of implication.

Statement p is “It is raining” and the statement q is “The track meet will be canceled”.

The statement formed for the logic $\text{p}\rightarrow\text{q}$ is called a compound statement.

The truth table for the logic $\text{p}\rightarrow\text{q}$ is attached below.

From the table attached below it is observed that there are four cases for the compound statement.

Case1:

If p statement is true and the q statement is true then the compound statement for $\text{p}\rightarrow\text{q}$ is also true.

Case 2:

If p statement is true and the q statement is false then the compound statement for $\text{p}\rightarrow\text{q}$ is false.

Case 3:

If p statement is false and the q statement is true then the compound statement for $\text{p}\rightarrow\text{q}$ is true.

Case 4:

If p statement is false and the q statement is false then the compound statement for $\text{p}\rightarrow\text{q}$ is true.

For a true statement it can also be said that it is a positive statement and for a false statement it can be said that it is a negative statement.

Statement p is given as “It is raining”, which is a positive statement or a true statement.

Statement q is given as “The track meet will be cancelled”, which is a positive statement or a true statement.

As per the table attached for the logic $\text{p}\rightarrow\text{q}$ it is observed that the given statements p and q resembles with the case $1$ as both of the statement are true.

So, the compound statement for $\text{p}\rightarrow\text{q}$ is also a true statement.

The compound statement for the logic $\text{p}\rightarrow\text{q}$ is as follows:

$\fbox{\begin\\\ \text{If it is raining then the track meet will be cancelled}\\\end{minispace}}$

Therefore, the compound statement for the logic $\text{p}\rightarrow\text{q}$ is $\fbox{\begin\\\ \text{If it is raining then the track meet will be cancelled}\\\end{minispace}}$

Learn more:

A problem on composite function brainly.com/question/2142762
A problem on simplification brainly.com/question/894273
A problem in inverse function brainly.com/question/1632445

Answer details

Grade: High school

Subject: Mathematics

Chapter: Logic

Keywords: Logics, implications, compound, compound statement, true statement, false statement, positive statement, negative statement, p->q.

8 0

3 years ago

Solve the equation and enter the value of x below.<br> X-(-5) = -23<br> x=

Akimi4 [234]

Answer:

x = -28

Step-by-step explanation:

x-(-5) = x + 5

x + 5 = -23

-23 - 5 = -28

x = -28

4 0

3 years ago

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a movie club charges a one time fee of $25 it allows members to purchase movies for $7 each another club does not charge a membe

Stells [14]

Club Members = $25 + $7 per movie(x)
No membership club = $12 per movie(x)
We need to know how many movies must each purchase to equal in costs.
Set up both equations to equal each other and solve for x=movies.
25 + 7x= 12x
25 + 7x -7x = 12x - 7x
25= 5x
25/5=5x/5
5=x it will take them both 5 movies each to have equal costs.

8 0

4 years ago

Shrek and Donkey are making parfait for an upcoming party.

Goryan [66]

Answer:

Step-by-step explanation:

They'd only make four from what the example shows; (0.01*2)*2=4

I can see where I might go wrong if Donkey was making the parfaits faster than Shrek?

I don't see what it's trying to get you to do, showing minimal info about it. If you're supposed to see either how fast Shrek can make within an hour, how much time they spent on the 5 parfaits-

6 0

3 years ago

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The quadratic function f(x) has a vertex at (9, 8) and opens upward. If g(x) = 4(x − 8)2 + 9, which statement is true?

IrinaVladis [17]

G(x) would involve a translation left 1 and up 1.

g(x) is written in vertex form, which is

g(x) = a(x-h)²+k, where (h, k) is the vertex. Since
g(x) = 4(x-8)²+9, the vertex is at (8, 9). Comparing this to the vertex of f(x), which is at (9, 8), it is left 1 and up 1.

7 0

4 years ago