H = {n: n is a positive even integer from 1 to 50} K = {n: n is a prime number from 1 to 50} J = {n: n is a positive integer divisible by 3}

Q: |u| ≤a is equivalent to __________ .

A: Given |u| ≤a is equivalent to __________ .

Q: Give an example where A, B ⊆ X and |A| = |B| but |X ― A| ≠ |X ― B|.

A: This cannot be possible if we take X to be finite set so we have to think an example where X is…

Q: Show that if a < c< b, then fave (a, b) = () fave l(a, c) + C - a | favg [c, b]

A: Solution...

Q: Prove that if a,b belong R(Real Numbers) then |a|-|b| is lesser or equals to |a-b|

A:

Q: dx. Evaluate - 1)²(x² + 2) x+3

A:

Q: 15. m ZU 144 60° W

A:

Q: Find a pair of values (x, y) that serve as a counter-example for the statement that ⌈xy⌉ = ⌈x⌉⌈y⌉…

A: Let, x = 2.1 &amp; y = 2.5

Q: Let a =(3, -3, 8), and B = (-7, -1, 3), and = (8, 4, 11). Find ||2ä - 36||.

A:

Q: Find |AI, IBI, AB, and IABI. -2 A 1 2 ] B = [2 -2] 4-2

A: a) A=(-2)(-2)-(1)(4)          =4-4           =0⇒|A|=0b) B=(2)(-2)-(4)(0)           =-4-0…

Q: b.) 3x-2y < 12

A:

Q: 1. (a) Prove that if alb and alc. then alb² + 10c + a.

A:

Q: Give an example of four sets A, B, C and D such that (AUC) x (BUD) ≤ (A x B) U (C x D).

A: The set A is a subset of B if every element of A is in B

Q: Show that ACB implies |A|≤|B|.

A:

Q: (2b) Let A and B be sets. Prove that A – B is disjoint from A n BC LA O BE

A: The set A∩B is defined as A∩B=x|x∈A and x∈B The set A-B is defined as A-B=x|x∈A and x∉B Two sets are…

Q: 3. Let V be the set of all ordered triple in R³, and F, the set of real numbers, where the…

A:

Q: Calculate the average rate of change for the function f(x)=5x² .5x-1 over the interval 4 3x S2.5

A:

Q: j2 -j3 2 Determine 1+j)

A:

Q: Let a = (5,-2, 9). Find ||10||

A:

Q: . Evaluate f(12x² + 2x)dx a.) + 2x + C b.)꼭+ 2 +C c.) 4x² + x² + C d.) 3x³ + 4x² + C 3. Evaluate f…

A: Integration:- Integration is defined as mixing things o people together that were formerly…

Q: Let ā = (5, 1, −1) and ỗ = (2, 1, 4). Find a. b.

A:

Q: If |A| = 9 and |B| = 7, what is |A U B|+|An B|?

A: =9 ,=7 to find |+

Q: Find all values of a, b, and c for which A is symmetric,

A:

Q: Draw the graphs of the inequalit a.) y> 2x – 6 -

A: Given query is to draw the graph of the inequality.