Write the following using 'if and only if' If you watch television then your mind is free and if your mind is free then you watch television.

Rewrite each of the following statements in the form “p if and only if q (i) p: If you watch television, then your mind is free and if your mind is free, then you watch television. (ii)q: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly. (iii) r : If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.

Rewrite the following statements in the form p if only if q : if you watch television then your mind is free and if your mind is free, then you watch television.

Write the following using 'if and only if': In order to get A grade, it is necessary and sufficient that you do all the homework regularly.

What do you mean by free fall?

Write the following statements in the form if p then q : You can access the website only if you pay a subscription fee.

a+b=15 The equations above relates the number of hours, a, Kevin spends doing homework each week and the number of hours he spends watching television each week. If kevin spends a total of 15 hours doing homework and watching television each week, what does the variable b represent?

Write each of the following statements in the form if-then (i)You get job implies that your credentials are good. (ii)You can access the website only if you pay a subscription fee.

How can you show that your solution is really saturated ?

Write the converse, inverse and contrapositive of the following statements. you will be strong only if you drink your milk.

Consider the following statement. When jumping from some height, you should bend your knees as you come to rest instead of keeping your legs stiff. Which of the following relations can be useful in explaining the statement?