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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) $\{1, 2, 3, 4, 5, 6\}$ $\newline$ (C) $\{1, 6\}$ $\newline$ (D) $\{0, 1, 2, 3, 4, 5, 6\}$

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

\newline

(C)

\{1, 6\}

\newline

(D)

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

Understand the problem: Understand the problem. We need to find the set of all integers that are greater than or equal to $0$ and less than or equal to $6$ .
List out integers: List out the integers starting from $0$ up to $6$ . These integers are $0$ , $1$ , $2$ , $3$ , $4$ , $5$ , and $6$ .
Verify listed numbers: Verify that all the listed numbers are indeed integers and fall within the given range, which is from $0$ to $6$ inclusive.
Match with choices: Match the set of integers we found with the given choices. The correct set is ${0, 1, 2, 3, 4, 5, 6}$ .
Correct choice: The correct choice that matches our set is (D) ${0, 1, 2, 3, 4, 5, 6}$ .

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