Compound Statement Math Examples

P q p.

Compound statement math examples. In fact what if we did not have even the english words but started with just the symbols. This is the negation of the statement all birds can fly. The squares of 3 4 5 and 6 is 9 16 25 and 36 respectively. A square has four sides.

These component statements i e a and b putting together give us the statement s. A compound statement is made with two more simple statements by using some conditional words such as and or not if then and if and only if. Here the connector and was used to create a new statement. If we split this statement into component statements we have.

Compound statement math examples. It is not the case that all birds can fly. In item 5 p q r is a compound statement that includes the connectors and. Let us take another example to understand it in a better way.

As both the component statements are true mathematically therefore the statement p is also true. All sides of a square are equal. In example 1 each of the first four sentences is represented by a conditional statement in symbolic form. 1 1 2 and all birds can fly.

This statement joins two different mathematically acceptable statements and takes the connective and. The length of a rectangle is 3. This statement p can be broken as. The length and breadth of a rectangle are 3 and 6 respectively.

What about a logic statement that is a bit more complicated. Our examples i will give you 5 or i will not give you 5 and it will either snow today or it will not snow today are very simple. The breadth of a rectangle is 6. In example 1 statement p represents the sentence ann is on the softball team and statement q represents the sentence paul is on the football team the symbol is a logical connector which means and therefore the compound statement p q represents the sentence ann is on the softball team and paul is on the footballteam.

For example for any two given statements such as x and y x y y x is a tautology. Not every topic in a discussion can be turned into a compound statement and analyzed for its truth that way but using logic and truth values is a good technique to use when possible. If your finite math instructor asks you to analyze a compound statement you can try using a truth table to do this.