Mark each statement True or False. Justify each answer. (a) If AnB =Ø, then either A = Ø or B = Ø. (b) If x e AUB, then x e A or x e B. (c) If x e A\B, then x e A orx 4 B. (d) In proving SST, one should avoid beginning with "Let x e S," because this assumes that S is nonempty.

Q: 2. For this entire page, let A = {x E Z: 6< x< 10 and 2|x} a. List the elements of A. b. List the…

A: A set is a collection of objects, things or symbols which are clearly defined. The individual…

Q: = -8 if x = 60. 5 3 O True O False

A:

Q: Evaluate for x = 3 and y = 4: 01,024/9 1/36 4/9 MEYT OUrCTION

A: The objective is to evaluate the expression at given values of X and y.

Q: Construct the set S+T in the cases shown in Figs. (a) and (b). a Sb Figure (a) b a b Figure (b)

A: a) Given  S=(x,0)|a≤x≤b and T=(0,y)|c≤y≤d. So S+T is given by  S+T=x+y|x∈S and y∈T…

Q: Which of the following identities are correct? Choose all that are correct. O et+y = e¤ + eY O e+Y =…

A: We know that; The exponent rule: 1). axy=ax·y 2). abx=axbx 3). ax·ay=ax+y 4). ax÷ay=ax-y 5). a-x=1ax…

Q: Verify the identity. 2 tan X-CSC tan x-csc X 2 X = tan x + csc X

A: given identity tan2x-csc2xtanx-cscx=tanx+cscx

Q: Suppose i = (-3, –3, –5) and v = (-1, –5, –1). Then ů x ở is and i x ũ is

A:

Q: Is the following true or false? Explain.

A: We know that phi (empty set) is subset of every set

Q: Verify the identity. sec² x - sin 2 x = sec x + sin x sec x- sin x Which of the following four…

A: Step 1:secx−sinxsec2x−sin2x​=secx+sinx​Step 2:​LHS=secx−sinxsec2x−sin2x​Using the algebraic…

Q: Rewrite the following sets as simply as possible. a. Øu {0} b. {0}-Ø c. P({0}) - Ø d. Øn {0} e.…

A: We need to rewrite the following sets as simple as possible.

Q: I needto Verify each identity but i dont know where to start   * i took a picture of the question.

A:

Q: Question 7: Suppose that K,H ≤ G such that G = HK and Hn and hk = kh, VhEH and kE K. Show that G≈ H

A:

Q: Look at the diagram. V X Y Z

A:

Q: Which of the following does not belong? O O A B D Ο Ε A 0 B с D

A: Let us find an image that does not belong to given arrangement.

Q: If m 4 = (x + 80)°, and m 25 = 2x°, then them 25 = %3D 3/4 5/6 7. 8. O 160° O 135° 80° 90°

A:

Q: For all sets A, B, C show that (C- A) – (B – A) = (C – B) – A. %3D

A: Concept used: For all sets A, B, C, then following are true: 1. A-B=A∩B2. A∩A=∅3. A∩B∪C=A∩B∪A∩C4.…

Q: ACDE AXWV. What is m<E? C 90 D 510 W 510 390 V O 51° 90° 39 180°

A: Triangles are similar.  So angle E = 39 Option C is correct

Q: Which of the following is the least?   a. sin 67o   b. sin 47o   c. sin 17o   d. sin 37o

A: 67o , 47o, 17o, 37o All (θ)angles lies in first quadrant that is in 0&lt;θ&lt;90   curve of sin

Q: The LCD of, and is 6xy. 3. 2x21 6y' 3xy O True O False

A: