7. Let A= {p, q, r}. Which of the following is an equivalence relation on A?(a) R, = {(p, q), (q, r), (p, r), (p, q)} (b) R2 = {(1,9).(,p), (r,r). (9,7)} (c) Rz = {(p, p), (q,9), (r, r), (p, q)} (d) one of these

Let A= {p, q, r} . Which of the following is an equivalence relation on A ? (a) R_1 = {(p, q), (q, r), (p, r), (p, q)} (b) R_2 = {(r,q), (r, p), (r.r), (q, r)} (c) R_3 = {(p, p), (q,q), (r, r), (p, q)} (d) one of these

Let A={p,q,r}. Which of the following is an equivalence relation on A?( a) R_(1)={(p,q),(q,r),(p,r),(p,q)}(b)R_(2)={(r,q),(r,p),(r.r),(q,r)}(c)R_(3)={(p,p),(q,q),(r,r),(p,q)}(d) one of these

Which of the following is not equivalent to (p^^~ q)->r (a) ~(q v ~ p)->r (b) ~ r->(~ p v q) (c) ~((p^^(~ q))^^(~ r)) (d) ~ r->(~ p^^q)

Let's find the L.C.M of the following algebraic expressions. (p+q) (q+r), (q+r)(r+p), (r+p)(p+q)

Add p(p-q),q(q-r) and r(r-p)

Add: p(p-q),q(q-r) and r(r-p)

Add : p(p-q),q(q-r) and (r-p)

Let p, q and r be three statements, then (p to q) to r is equivalent to

Without expanding at any stage, prove that |(p+q, q+r, r+p),(q+r, r+p, p+q),(r+p, p+q, q+r)| = 2|(p,q,r),(q,r,p),(r,p,q)| .