Given that $U = {3, 7, 9, 11, 15, 17, 18}, M = {3, 7, 9, 11}$ and $N = {7, 11, 15, 17}$
Find
(i) $M - N$
(ii) $N - M$
(iii) $N^{'} - M$
(iv) $M^{'} - N$
(v) $M \cap (M - N)$
(vi) $N \cup (N - M)$
(vii) $n (M - N)$

Open in App

Solution

$U = {3, 7, 9, 11, 15, 17, 18}$
$M = {3, 7, 9, 11}$
$N = {7, 11, 15, 17}$
$(1) M - N = {3, 9}$
$(2) N - M = {15, 17}$
$(3) N^{'} = {3, 9, 18}$
$M = {3, 7, 9, 11}$
$N^{'} - M = {18}$
$(4) M^{'} = {15, 17, 18}$
$M^{'} - N = {18}$
$(5) M \cap (M - N) = {3, 9}$
$(6) N \cup (N - M) = {7, 11, 15, 17}$
$(7) n (M - N) = 2$

Suggest Corrections

Similar questions

If p = n(m+n)(m+n-1)m, which of the following are the factors of p (Given p,n,m are natural numbers).

(i) n

(ii) m

(iii) m-n

(iv) m+n

Q. How many m's are preceded and followed by m ?
m n m n n m m n m n m m m u u m n m n n m m m n

Q. Find the angle between the lines whose direction cosines are given by the equations
(i) l + m + n = 0 and l² + m² − n² = 0
(ii) 2l − m + 2n = 0 and mn + nl + lm = 0
(iii) l + 2m + 3n = 0 and 3lm − 4ln + mn = 0
(iv) 2l + 2m − n = 0, mn + ln + lm = 0

The steps involved in dividing a line segment are given below. Arrange them in the correct order.

I. Draw a ray $P M$ making an acute angle with $P Q$

II. Locate m+n points $P_{1}$ , $P_{2}$ , $P_{3}$ ......... $P_{m + n}$ , such that $P P_{1}$ = $P_{1} P_{2}$ = $P_{2} P_{3}$ … = $P_{m + n - 1} P_{m + n}$ .

III. Measure the $∠$ $P P_{m + n} Q$ .

IV. Draw a line parallel to $Q P_{m + n}$ at $P_{m}$ .

V. Join $Q P_{m + n}$ .

VI. Draw an angle equal to $∠$ $P P_{m + n} Q$ at $P_{m}$ .

The point Q' at which the line $P_{m} Q'$ intersects PQ divides the line PQ in the ratio $m : n$

Of which of the binomials given below is m²n²+ 14mnpq + 49p²q²the expansion?

(i) (m + n) (p + q) (ii) (mn- pq) (iii) (7mn + pq) (iv) (mn + 7pq)

Join BYJU'S Learning Program

Given that U={3,7,9,11,15,17,18},M={3,7,9,11} and N={7,11,15,17}Find(i) M−N(ii) N−M(iii) N′−M(iv) M′−N(v) M∩(M−N)(vi) N∪(N−M)(vii) n(M−N)

U={3,7,9,11,15,17,18}M={3,7,9,11}N={7,11,15,17}(1)M−N={3,9}(2)N−M={15,17}(3)N′={3,9,18}M={3,7,9,11}N′−M={18}(4)M′={15,17,18}M′−N={18}(5)M∩(M−N)={3,9}(6)N∪(N−M)={7,11,15,17}(7)n(M−N)=2

Given that $U = {3, 7, 9, 11, 15, 17, 18}, M = {3, 7, 9, 11}$ and $N = {7, 11, 15, 17}$
Find
(i) $M - N$
(ii) $N - M$
(iii) $N^{'} - M$
(iv) $M^{'} - N$
(v) $M \cap (M - N)$
(vi) $N \cup (N - M)$
(vii) $n (M - N)$