Question

Let A=(-4,2), B=(-1,6), C=(-infinite,1], Find and write each of them in interval
notation:
(a) AUB, (b) An B,(c) AUB,(c) A\B, (d) B \ A, (e) AUC, (f) AnC, (g) A\C,(h)
C\A,(i) BUC, (j) BnC, (k) B\C,(1) C\B.​

Answer 1

Answer:

eternity eternity ring

Answer 2

Step-by-step explanation:

Given

A = (-4, 2)

B = (-1, 6)

C = (-∞, 1]

Calculations

a) A∪B = (-4 2)∪(-1 6)

= (-4 6)

b) A∩B = (-4 2)∩(-1 6)

= (-1 2)

c) A\B = (-4 2)\(-1 6)

= (-4 -1]

d) B\A = (-1 6)\(-4 2)

= [2 6)

e) A∪C = (-4 2)∪(-∞ 1]

= (-∞ 2)

f) A∩C = (-4 2)∩(-∞ 1]

= (-4 1]

g) A\C = (-4 2)\(-∞ 1]

= (1 2)

h) C\A = (-∞ 1]\(-4 2)

= (-∞ -4]

i) B∪C = (-1 6)∪(-∞ 1]

= (-∞ 6)

j) B∩C = (-1 6)∩(-∞ 1]

= (-1 1]

k) B\C = (-1 6)\(-∞ 1]

= (1 6)

l) C\B = (-∞ 1]\(-1 6)

= (-∞ -1]