 Hi, how are you all today? My name is Priyanka and let us proceed on with this question. It says, for each of the following compound statements first identify the connecting words and then break it into component statements. Now we are given three sorry four statements in this question. The first statement says all rational numbers are real and all real numbers are not complex. Second, square of an integer is positive or negative. Third, the sand heats up quickly in the sun and does not cool down past at night. And lastly, and x is equal to 3 are the roots of the equations. We x square minus x minus tan is equal to zero. Now, before proceeding on with the solution, we should develop words with what are connecting words all about. The words like in mathematical, these are called or these words are called words or these are called connectives. Right, so this is the key idea for the question. Now, in each and every statement, first of all, we need to identify the connective words and then break it into component statements. This statement is the statement which is made up of two or more statements. Right, so the first statement which is given to us is all rational numbers are real and all real numbers are not complex. So, first of all, it is made up of two component statements. The component statements, first of all, all rational numbers are real and then all real numbers are not complex. Which is given to us these square of an integer is positive or negative. Here the connecting words, first of all, square of an integer positive and we have square of an integer negative. Right, so this completes the second part of the question. Now, the third statement says the sand heats up quickly in the sun and does not cool down fast at night. Now here the connecting word, the component statements are firstly the sand heats up quickly in the sun and then the sand does not cool down fast at night. Now this completes proceeding on with the last and final part. Here the fourth part is x is equal to 2 and x is equal to 3 are the roots of the equation 3x square minus x minus 10 is equal to 0. Now here the connecting word is, first of all, the equation 3x square minus x minus 10 is equal to 0 and then we have 3 equal to 3 equation 3x square minus x minus 10 is equal to 0. Right, so in the given question we first identify the connecting words and then found out the compound statements by removing the connecting word and reconstructing the form of the statement wherever that was needed. Right, so hope you enjoy and understood the whole concept well. Have a very nice day ahead.