Category: Set Theory

What is the range of  f(x) = 2×2 + 1.   Solution:-   The range of the function  f(x) ≥1 The graph of the function is a parabola. The positive…

What is the equation that passes through the points (4, 3) and (7, 0)?   Solution:-   Find the slope and y-intercept. y = -x + 7  

What is the range of the following function? f(x) = {(4,6) ,(5,7),(6,8),(7,9)}   Solution:-   Given a set of ordered pairs, the range is found by identifying the y-coordinates from…

What is the domain of the following function? f(x) = {(4,6) ,(5,7),(6,8),(7,9)}   Solution:-   The domain contains the x-coordinates of a set of ordered pairs. {4,5,6,7}  

Is the selection a permutation, a combination, or neither? Ten woman in a salon are dying their hair blonde, brunette, black, or red.   Solution:-   Use the definitions of…

Each of 2 countries sends 3 delegates to a negotiating conference. A rectangular table is used with 3 chairs on each long side. If each country is assigned a long…

For P = {3,5,9,14}, Q = {1,6,12}, and R = {4,6,9,12}, find P U (Q∩R).   Solution:-   The union of sets A and B, denoted by A U B,…

Let U = {16,25,36,49,64,81} and A = {16,25,36} . Find A’.   Solution:-   The complete of A (relative to the universal set U), denoted by A’, is the set…

Write the resulting set using the listing method. {x | x is an old number between 11 and 19, inclusive}   Solution:-   The listing method listed all the elements…