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Which is the set of integers greater than or equal to $0$ and less than or equal to $6$ ? $\newline$ Choices: $\newline$ (A) $\emptyset$ $\newline$ (B) $\{1, 6\}$ $\newline$ (C) $\{0, 1, 2, 3, 4, 5, 6\}$ $\newline$ (D) $\{1, 2, 3, 4, 5, 6\}$

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Does (x, y) satisfy the inequality?

Full solution

Q. Which is the set of integers greater than or equal to

0

and less than or equal to

6

?

\newline

Choices:

\newline

(A)

\emptyset

\newline

(B)

\{1, 6\}

\newline

(C)

\{0, 1, 2, 3, 4, 5, 6\}

\newline

(D)

\{1, 2, 3, 4, 5, 6\}

Understand the problem: Understand the problem. We need to find the set of integers that are greater than or equal to $0$ and less than or equal to $6$ .
Identify smallest integer: Identify the smallest integer in the set. The smallest integer that is greater than or equal to $0$ is $0$ itself.
Identify largest integer: Identify the largest integer in the set. The largest integer that is less than or equal to $6$ is $6$ itself.
List all integers: List all the integers between the smallest and largest integer identified in the previous steps, including both $0$ and $6$ . The integers are $0, 1, 2, 3, 4, 5,$ and $6$ .
Compare with choices: Compare the list of integers with the given choices to find the correct set. The correct set is $\{0, 1, 2, 3, 4, 5, 6\}$ .

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