Question

Remind that , if, and only if, there exist positive real numbers and and a nonnegative real number such that for all numbers . for what values of , and is ? group of answer choices and and and and and and and and and and flag question: question 7 question 710 pts choose the right answer. group of answer choices all of the above none of the above flag question: question 8 question 810 pts choose the right answer. group of answer choices all of the above none of the above flag question: question 9 question 910 pts choose the right answer. group of answer choices all of the above none of the above flag question: question 10 question 100 pts i completed this part of the quiz with no help from anyone, except possibly the course staff (as described in the academic conduct policy and the instructions for this quiz).

a. true
b. false

Answer 1

The values that satisfy the given condition are a = 1, b = 1, and c = 0.

Step-by-step explanation:

In mathematical notation, the statement 'if and only if' is represented by the symbol ⇔. So, the given statement can be written as:

a > 0 & b > 0 & c ≥ 0 ⇔ a + b > c

Here are the possible values for a, b, and c:

1. a = 1, b = 1, c = 0 (satisfies the condition)
2. a = 2, b = 2, c = 0 (satisfies the condition)
3. a = 0, b = 0, c = 1 (doesn't satisfy the condition)

Therefore, the values that satisfy the given condition are a = 1, b = 1, and c = 0. The answer is none of the above.

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