2.1.5 (a) Rewrite the following sentence using the word 'necessary.' If I am to get a new bicycle, I must do my homework. (b) Rewrite the following sentence using the word 'sufficient.' The United States must play more soccer if it is to win the World Cup. 2.1.6 (a) What are the converse and the contrapositive of the statements in the previous question? Write your answers in sentences, like the originals. (b) What are the negations of the statements in the previous question?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter1: The Six Trigonometric Functions
Section: Chapter Questions
Problem 1RP: Although Pythagoras preceded William Shakespeare by 2,000 years, the philosophy of the Pythagoreans...
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2.1.5 (a) Rewrite the following sentence using the word 'necessary.'
If I am to get a new bicycle, I must do my homework.
(b) Rewrite the following sentence using the word 'sufficient.'
The United States must play more soccer if it is to win the World Cup.
2.1.6 (a) What are the converse and the contrapositive of the statements in the previous question?
Write your answers in sentences, like the originals.
(b) What are the negations of the statements in the previous question?
Transcribed Image Text:2.1.5 (a) Rewrite the following sentence using the word 'necessary.' If I am to get a new bicycle, I must do my homework. (b) Rewrite the following sentence using the word 'sufficient.' The United States must play more soccer if it is to win the World Cup. 2.1.6 (a) What are the converse and the contrapositive of the statements in the previous question? Write your answers in sentences, like the originals. (b) What are the negations of the statements in the previous question?
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