Exercise 2.1 1. If (x/3 + 1, y – 2/3) = (5/3, 1/3) then find values of x and y. Comparing both sides of this equation we get Simplifying x/3 + 1 =…

Question 1 Question 2 Question 3 Question 4 5. Find the domain and the range of the real function f defined by f (x) = |x –1| We know that absolute or modulus…

1. Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range.(i) {(2,1), (5,1), (8,1), (11,1), (14,1), (17,1)}As every first element in the ordered pairs…

1. Let A = {1, 2, 3,…,14}Define a relation R from A to A byR = {(x, y) : 3x – y = 0, where x, y ∈ A}. Write down its domain,…

1. If (x/3 + 1, y – 2/3) = (5/3, 1/3) then find values of x and y. Comparing both sides of this equation we get Simplifying x/3 + 1 = 5/3 Simplifying…

Exercise 1.1 1. Which of the following are sets? Justify your answer.(i) The collection of all the months of a year beginning with the letter JThe collection of all months of a year…

1. Decide among the following sets which sets are subsets of one and another: A = {x : x ∈ R and x satisfy x2 – 8x + 12 = 0}B = {2,…

1. If X and Y are two sets such that n(X) = 17, n(Y) = 23 and n(X ∪ Y) = 38 Find n(X ∩ Y)We know thatn(X ∪ Y) + n(X ∩…