Question

If the functions W, X, Y and Z are given as follows:

W = R + PQ+RS
X = PQR 5+ P Q R 5+P Q R S
Y = RS +PR+PQ+ P.Q
Z = R + S + PQ +P.Q.R+PQ.S
Then
(a) W = Z, X = Ź (b) W = Z, X = Y (C) W = Y (d) W = Y = Z

Answer 1

The expressions that are equivalent are W = Z and W ≠ Z, X = Ź.

Step-by-step explanation:

The given functions are:

W = R + PQ + RS

X = PQR + 5 + PQRS

Y = RS + PR + PQ + PQR

Z = R + S + PQ + PQR + PQS

To determine which expressions are equivalent, we need to simplify each function and compare them:

W = R + PQ + RS = R + RS + PQ = Z

X = PQR + 5 + PQRS ≠ Ź

Y = RS + PR + PQ + PQR ≠ Z

Therefore, the expressions that are equivalent are (a) W = Z and (b) W ≠ Z, X = Ź.