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

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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)

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

\newline

(C)

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

\newline

(D)

\{1, 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 $6$ .
List the integers: List the integers starting from $0$ and count up to $6$ . These numbers are $0$ , $1$ , $2$ , $3$ , $4$ , $5$ , and $6$ .
Verify integers in range: Verify that each of these numbers is indeed an integer and falls within the specified range. $0$ is an integer and is greater than or equal to $0$ . $6$ is an integer and is less than or equal to $6$ . All numbers in between are also integers and fall within the range.
Compare with choices: Compare the list of integers with the given choices to find the correct set. The set $\{0, 1, 2, 3, 4, 5, 6\}$ matches our list, so this is the correct answer.

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