Question

Let the universal set be R, the set of all real numbers, and let A {xE R I -3 sxs 0, B {xER -1< x 2}, and C xE R | 5<xs 7}. F(e) Anc or 5 < x7 < 0 or 5 < x 7 :0 or 5<x7} -3 s xs0 fxER {xER fER -3<x R-3 sxs -3 s x s 0 a and 5x7 (f) B {xER|x -1 orx> 2) (An B)F o{*E R|-1 &xs 아 {xER|-1 <x< 아} •(xER*<-1orx2 아 {*ER|x s -1orx > 아 o {xeR|x20 orx > } G) (AU B) {xER-3x 2 R-3 s {XER

0 0
Add a comment Improve this question Transcribed image text
Answer #1

| Given - A - SKER I - 35x5o} B = {XERI -1<x<2} C EXER L5 <857? (9) Now AUB: {XERI - 35x<2} Les option() EGER 1-3 5x c2} is c(di AUC > {XER ! - 35750 or 5 <x<=} robtion (1) EXER - 35* so or 54X57} is correct. common ANC = There is no element in A andO CAMBIO DE Bz SWAR L-3 suso} En fR I IC&<2} An Ba Sx FR I - 1xco} Now (ANB): R. CANB) CANBJ EX GRIX<| or x>0} option (4) EXE

Add a comment
Know the answer?
Add Answer to:
Let the universal set be R, the set of all real numbers, and let A {xE...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 5. Let R denote the set of real numbers. Which of the following subsets of R...

    5. Let R denote the set of real numbers. Which of the following subsets of R xR can be written as Ax B for appropriate subsets A, B of R? In case of a positive answer, specify the sets A and B. (a) {(z,y)12z<3, 1<y< 2}, (b) {z,)2+y= 1), (c) {(z,y)|z= 2, y R), (d) {(z,y)|z,yS 0}, (e) {(z,y) z y is an integer).

  • 9. Let x,y > 0 be real numbers and q, r E Q. Prove the following:...

    9. Let x,y > 0 be real numbers and q, r E Q. Prove the following: (а) 29 > 0. 2"а" and (29)" (b) x7+r (с) г а — 1/29. 0, then x> y if and only if r4 > y (d) If q (e) For 1, r4 > x" if and only if q > r. For x < 1, x4 > x* if and only if q < r.

  • help me. 5. consider set F(R):ff: f:R-R), but set all function with set real number in...

    help me. 5. consider set F(R):ff: f:R-R), but set all function with set real number in domain and codomain. Show "addition" in any two function it.eCE(R) to produce new function such as given: ttgR2R which is every xER such as given:(tg)lx)-fx)+g(x), and any real number k ER, multiply it with any element f EF(R) to produce new function as given: kfRR in every value xER such as given:(k:0(x):-kfx)(observe it with multiply dua real number) (a) Show. FIR) ith addition and...

  • Question 1: Let R be the set of real numbers and let 2R be the set...

    Question 1: Let R be the set of real numbers and let 2R be the set of all subsets of the real numbers. Prove that 2 cannot be in one-to-one correspondence with R. Proof: Suppose 2 is in one-to-one correspondence with R. Then by definition of one- to-one correspondence there is a 1-to-1 and onto function B:R 2. Therefore, for each x in R, ?(x) is a function from R to {0, 1]. Moreover, since ? is onto, for every...

  • 5, ( 10 pts.) Let f : R → R be a differentiable function and suppose that 2 for all xE R. Prove t...

    5, ( 10 pts.) Let f : R → R be a differentiable function and suppose that 2 for all xE R. Prove that the equation f(cos) cos(f()) has a unique solution in R. 5, ( 10 pts.) Let f : R → R be a differentiable function and suppose that 2 for all xE R. Prove that the equation f(cos) cos(f()) has a unique solution in R.

  • 3. Let N = R and P be the probability distribution on (R, B(R)) with density...

    3. Let N = R and P be the probability distribution on (R, B(R)) with density 1 XER. Put X(w):=w2, WEN. (a) Describe o(X) (the o-algebra on 2 generated by X). Justify your answer. (b) Derive the distribution function Fx of the random variable X. (c) Compute the mean EX and moment generating function y(t) := t> 0, for the random variable (RV) X. [3+3+3=9] EetX 300,

  • 3. Let N = R and P be the probability distribution on (R, B(R)) with density...

    3. Let N = R and P be the probability distribution on (R, B(R)) with density 1 -131 XER. Put X(w):=w2, WEN. (a) Describe o(X) (the o-algebra on 2 generated by X). Justify your answer. (b) Derive the distribution function Fx of the random variable X. (c) Compute the mean EX and moment generating function y(t) == EetX 500, t> 0, for the random variable (RV) X. (3+3+3 = 9]

  • 3-2. Prove Theorem 3.2. Theorem 3.2 Let I S R be an open interval, xe I,...

    3-2. Prove Theorem 3.2. Theorem 3.2 Let I S R be an open interval, xe I, and let f. 8:1\{x} → R be functions. If there is a number 8 > 0 so that f and g are equal on the subset 12 € 7\(x): 13-X1 < 8 of I\(x), then f converges at x iff g converges at x and in this case the equality lim f(x) = lim g(z) holds.

  • 1 Let f: R R be a continuously differentiable map satisfying ilf(x)-FG) ll 리1x-vil, f Rn. Then fis onto 2. f(RT) is a closed subset of R'" 3, f(R") is an open subset of RT 4. f(0)...

    1 Let f: R R be a continuously differentiable map satisfying ilf(x)-FG) ll 리1x-vil, f Rn. Then fis onto 2. f(RT) is a closed subset of R'" 3, f(R") is an open subset of RT 4. f(0)0 or all x, y E 5) S= (xe(-1,4] Sin(x) > 0). Let of the following is true? I. inf (S).< 0 2. sup (S) does not exist Which . sup (S) π ,' inf (S) = π/2 1 Let f: R R be...

  • Let R be a UFD, and let So be a set of irreducibles in R. Let...

    Let R be a UFD, and let So be a set of irreducibles in R. Let S := {ufi.fr: k > 0,[1,...,SE E So, u € R*} (we use the convention that the product fifk is 1 when k=0). (a) Show that S is multiplicatively closed. (b) Suppose / ER, GES. Show that is a unit in S-R if and only if SES. (c) Show that res-'R is irreducible if and only if x is associates with y = {es-R,...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT