Question

Solve the following mathematical problems.(please answer asap)*first ans:brainliest*
If (x + y, 2x - 7) = (7, 1), find the value of x and y.
If A and B are two sets defined as A = {a set of natural number less than 4} and B = { a set of prime number less than 5}, find the cartesian product A x B and represent in i) Ordered pairs form ii) Arrow diagram iii) tabular form
If P = {1, 3, 5, 7} and Q = {2, 4, 6}, find the relation R = “ is one more than” from set P to Q and write the in arrow diagram from, tabular form and ordered pairs form.
What element in the domain has image 7 under the function f(x) = 7x - 8?
What are the domain and range of the given relations.
R1 = {(1, 2), (1, 3), (3, 5), (4, 5)}
R2 = {(a, b), (a, c), (a, d)}
If f(x) = 7x - 5, what is the value of f(5) and (f8)?
If f(x) = x^2, find the value of [f(a+h)-f(a)]/h.
If f(x+3 ) = f(x) + f(3), show that i) f(0) = 0 ii) f(-3) = -f(3)
If f(4x) = f(4) + f(x), show that i) f(4) = 0 ii) f(16) = 0
Find the inverse relation of the relation in ordered pairs form.
R3 = {(1, 2), (3, 4), (5, 6), (7, 8)}
R4 = { (a, b), (b, a) (a, a), (b, b)}
R5 = {(-1, 1), (-2, 2), (-3, 3), (-4, 4)}

Answer 1

Answer:

(a) Let R be the relation on Z defined by aRb

if and only if a - b is an even integer. Find :

(i) R.

(ii) domain of R

(iii) range of R.

(b) Let R be the relation on Z defined by :

R = {(u, b): a E Z, b E Z, a2 = 62).

Find : (i) R

(ii) domain of R (iii) range of