Problem-40 Determine whether the following function from {a,b,c,d} to itself is one-to-one. f(a)=b,f(b)=c,f(c)=d,f(d)=c Solution This is not one-to-one .
Problem-39
Problem-39 Find these values. a) ⌊1.7⌋ b) ⌈1.7⌉ c) ⌊−9.8⌋ d) ⌈−9.8⌉ e) ⌈2.96⌉ f) ⌈−2.96⌉ g) ⌊+⌈⌉⌋ h) ⌈⌊⌋+⌈⌉+⌉ Solution a) ⌊1.7⌋ 1 b) ⌈1.7⌉ 2 c)…
Problem-38
Problem-38 Find the domain and range of the function that assigns to each positive integer the largest integer not exceeding the square root of the integer. Solution The domain…
Problem-37
Problem-37 Why is f not a function from R to R if a) f(x)= ? b) f(x)=± ? Solution a) f(x)= ? f(0) is not defined. b) f(x)=± ? f(x) is not well-defined because there…
Problem-36
Problem-36 The symmetric difference of A and B, denoted by A⊕B, is the set containing those elements in either A or B, but not in both A and B. Find…
Problem-35
Problem-35 Select the correct Venn diagram for each of these combinations of the sets A, B, and C. a) A∪(B∩C) b) c) (B−A)∪(C−B)∪(A−C) Solution a) A∪(B∩C) b) c) (B−A)∪(C−B)∪(A−C)
Problem-34
Problem-34 Find the sets A and B if A−B={1,5,6,8}, B−A={0,10}, and A∩B={3,7,9}. Solution A={1,3,5,6,7,8,9},B={0,3,7,9,10}
Problem-33
Problem-33 Let A={a,b,c,d,e} and B={a,b,c,d,e,f,g,h}. Find a) A∩B b) A−B Solution a) A∩B {a, b, c, d, e} b) A−B {}
Problem-32
Problem-32 Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school. Express each of these sets in terms…
Problem-31
Problem-31 Let A={a,b,c}, B={x,y}, and C={0,1}. Find B×C×A. Solution {(x,0, a),(x,1, a),(y,0, a),(y,1, a),(x,0, b),(x,1, b),(y,0, b),(y,1, b),(x,0, c),(x,1, c),(y,0, c),(y,1, c)}
Recent Comments