 Hi and welcome to our session. Let us discuss the following question. The question says write the negation of the following statements. First statement is for every positive real number x, the number x-1 is also positive. Before solving this question, we should know that what is meant by a negation of a statement. The demand of a statement is called the negation of a statement. For example, if the statement is new deli is a city then negation of this statement will be new deli is not a city or it is false that new deli is a city or we can say that it is not the case that new deli is a city. So we form the negation of a statement by using the phrases it is not the case or it is false that or just writing not in the statement. So by using these phrases we will form the negation of the given statement. So keeping this in mind, let us now begin with the solution. Now here the given statement is for every positive real number x, the number x-1 is also positive. The negation of the statement is false that pre-positive real number x, the number x-1 is also positive. Now is that x-1 is positive with every positive real number x is positive that's not hold good. So this means we can rewrite this statement as there exists positive real number x is one is not positive. This is our required answer. So this completes this negation I and take care.