 Hello and welcome to the session, my name is Asha and I am going to help you with the following question that says given below are two statements P and Q, P is 25 is a multiple of 5 and Q is 25 is a multiple of 8. It says write the compound statements connecting the two statements with and and or. In both the cases check the validity of the compound statements. So, let's start with the solution. Here we have to write a statement combining two given statements which we shall be doing by using the connecting words and and or. We shall also determine whether the statements thus obtains are valid or not. This can be done by applying the rule that the compound statement with and is true if both the component statements are true and the compound statement with or is true if one or both of its component statements are true. So, first let us write down the compound statement connecting and Q with the connecting word 25 is a multiple. Now, here the statement 25 is a multiple of 5 is true but the statement 25 is a multiple of 8 is false since both the statements are not true. Therefore, the compound statement so formed is also not true that is 25 is a multiple of 5 and 8 is false. Thus, our answer is statement which is formed by joining P and Q with the help of connecting word and let's proceed on to the next part where we have to join P and Q with the help of connecting word or and then let's check its validity. Now, the compound statement into statements P or Q that is the P the compound statement if one or both of its component statements are true therefore it is formed by joining P and Q. So, this completes the session. Hope you have understood it. Take care and bye for now.