For A, B, C s U, prove that A (B - C) = (A B)

Question:

For A, B, C ⊂s °U, prove that
A × (B - C) = (A × B) - (A × C).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

See More Books

Question Posted: Jun 21, 2016 08:21 AM

See More Questions

(a) Prove that if u is orthogonal to both v and w, then u is orthogonal to v + w. (b) Prove that if u is orthogonal to both v and w, then u is orthogonal to sv + tw for all scalars s and t.
Prove that the image of a span equals the span of the images. That is, where h: V W is linear, prove that if S is a subset of V then h([S]) equals [h(S)]. This generalizes Lemma 2.1 since it shows...
A linear transformation S: U U is called skew-adjoint if S* = -S. (a) Prove that a skew-symmetric matrix is skew-adjoint with respect to the standard dot product on Rn. (b) Under what conditions is...
In terms of Federal tax consequences, why are lifetime transfers to charity preferable to testamentary transfers?
In the event of a disaster situation at State University from weather, an accident, or terrorism, victims will be transported by emergency vehicles to three area hospitals: County General, Memorial,...
Three years ago the Triumph Manufacturing implemented a networked transaction processing system to link their various departments and allow data sharing. Prior to then, Triumph employed a system...
A wing generates a lift $\mathscr{L}$ when moving through sea-level air with a velocity $U$. How fast must the wing move through the air at an altitude of $10,000 \mathrm{~m}$ with the same...
Indicate whether each of the following would be added to or deducted from net income in determining net cash flow from operating activities by the indirect method: a. Decrease in accounts payable b....
Calculate the electric field 1 . 0 m from a small sphere with a positive charge of 3 . 2 x 1 0 -3 C . Describe the direction as outwards or inwards.
A statute gives the Department of the Interior the power to allow or to curtail mining within the national forests as the best interests of all users of the national forest shall dictate. Is this a...
If A = {1, 2, 3, 4}, B = {2, 5}, and C = {3, 4, 7}, determine A B; (B A); A U (B C); (A B) C; (A C) U (B C).
Let <31 c N X N where (m, n) e 31 if (and only if) n = 5m + 2. (a) Give a recursive definition for 31. (b) Use the recursive definition from part (a) to show that (4, 22) R.
What is the distinction between equity insolvency and bankruptcy insolvency?
You work for a furniture factory that procures springs from an outside supplier. Every month, a truckload of springs comes in. From each shipment, you randomly inspect 400 springs. If there are 10 or...
Using the data from Table 106, recast the analysis with one change of assumption: Instead of assuming that an additional $17,000 of overhead was incurred in both years, assume that overhead was lower...
Calculate the area under the normal curve between the following: (a) z = 0 and z = 2.0 (b) z = 3.5 and z = - (c) z = 1.2 and z = 3 (d) z - 1 1.3 and z = 1.3 1 and z = 1 (e) z = (f) z = 3 and z = 4
What is your mean speed if you drive 35 miles per hour for 2 h and 55 miles per hour for 3 h?
The time a customer waits for service at a bank is distributed normally with a mean of 4 min and a standard deviation of 1 min. Compute the probability that a customer must wait for: (a) More than 10...
True or False A continuous function cannot have a point of discontinuity. Justify your answer.
Suppose that the electrical potential at the point (x, y, z) is E(x, y, z) = x + y - 2z. What is the direction of the acceleration at the point (1,3,2)?
Assume that variables in exponents represent natural numbers. (a) x2n + 5xn - 24 (b) 4x2n - 4xn - 3 (c) x2 + ax + bx + ab
Factor the trinomial. (a) w2 - 7w + 10 (b) p2 + 6p + 8 (c) x2 + 6x + 5
Factor the difference of squares. (a) z2 - 81 (b) m2 - 4 (c) 16x2 - 9
You have $36,000 to Invest in Sophie Shoes, a stock selling for $60 a share. The initial margin requirement is 65 percent. calculate your rates of return if the stock rises to $90 a share and if it...
New Flyer Industries has decided to expand its production of hybrid transit buses. The firm expects incremental cash flows of? $40 million per year for the next 10 years. The upfront cost of the...
Calculate the mean, mode, median, standard deviation, and range for the Graduation Rate, Salary After Completing Program, and Annual Cost. our response to each of these should include only the mean,...

For A, B, C s U, prove that A (B - C) = (A B)

Question:

Step by Step Answer:

x y A B C x A and y B C ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

Students also viewed these Linear Algebra questions