On a certain day Burkard and Maryam both make purchases from the Nerdtshirts online store. Members of the Nerdtshirts loyalty program get a discount and free shipping on all purchases. Any purchases of over $99 get free shipping. On the 14th of March, all purchases get a discount. These are the only situations in which Nerdtshirts offers discounts or free shipping. Let ‘p’ be the proposition that Burkard is a member of the loyalty program. Let ‘q’ be the proposition that Maryam is a member of the loyalty program. Let ‘r’ be the proposition that Burkard's purchase was over$99. Let ‘s’ be the proposition that Maryam's purchase was over$99. Let ‘t‘ be the proposition that the day is the 14th of March. Write down propositions ( using just p, q, r, s, ,t, brackets and logical connectives) corresponding to the following statements. (i)Maryam does not get free shipping. (ii) Burkard is not a member of the loyalty program but he gets a discount. (iii) Exactly one of Burkard or Maryam gets a discount. (iv) Neither Burkard nor Maryam spend over $99 but at least one of them gets free shipping. (v) Burkard gets a discount but not free shipping while Maryam gets both a discount and free shipping. No hand written solution and no image

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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On a certain day Burkard and Maryam both make purchases from the Nerdtshirts online store. Members of the Nerdtshirts loyalty program get a discount and free shipping on all purchases. Any purchases of over $99 get free shipping. On the 14th of March, all purchases get a discount. These are the only situations in which Nerdtshirts offers discounts or free shipping.

Let ‘p’ be the proposition that Burkard is a member of the loyalty program.

Let ‘q’ be the proposition that Maryam is a member of the loyalty program.

Let ‘r’ be the proposition that Burkard's purchase was over$99.

Let ‘s’ be the proposition that Maryam's purchase was over$99.

Let ‘t‘ be the proposition that the day is the 14th of March.

Write down propositions ( using just p, q, r, s, ,t, brackets and logical connectives) corresponding to the following statements.

(i)Maryam does not get free shipping.

(ii) Burkard is not a member of the loyalty program but he gets a discount.

(iii) Exactly one of Burkard or Maryam gets a discount.

(iv) Neither Burkard nor Maryam spend over $99 but at least one of them gets free shipping.

(v) Burkard gets a discount but not free shipping while Maryam gets both a discount and free shipping. No hand written solution and no image 

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