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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: $\newline$ $(A)\{1,2,3,4,5,6\}$ $\newline$ $(B)\{0,1,2,3,4,5,6\}$ $\newline$ $(C)\{\text{null set}\}$ $\newline$ $(D)\{1,6\}$

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Sets, subsets, and complements

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

\newline

(B)\{0,1,2,3,4,5,6\}

\newline

(C)\{\text{null set}\}

\newline

(D)\{1,6\}

Identify Inequality Signs: Identify the inequality signs for the problem. We need to find the set of integers that are greater than or equal to $0$ and less than or equal to $6$ . $\newline$ Inequality signs: $\geq$ and $\leq$
Determine Set Notation: Determine the set notation that represents the set of integers greater than or equal to $0$ and less than or equal to $6$ . $\newline$ Set notation: $\{x \mid 0 \leq x \leq 6\}$
List Integers: List all the integers that satisfy the inequality $0 \leq x \leq 6$ . 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. $\newline$ The correct set that matches our list is $\{0, 1, 2, 3, 4, 5, 6\}$ .

More problems from Sets, subsets, and complements

Question

R = \{-4, 4, 14\}

S = \{2, 12\}

R \cup S

\newline

\newline

\{-4,2,4,12,14\}

\newline

\Phi

\newline

\{2, 4, 12\}

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\{-4, 2\}

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What interval does this inequality represent?

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[A](-3,\infty)

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[B](-3,\infty)

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[C](-\infty,-3)

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Which of the following expressions is equivalent to

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Question

A physicist measures the energies of atoms

A

B

to be the positive values

a

b

respectively. He determines that the energy of atom

B

is between one percent more than and one percent less than twice the energy of atom

A

. Which of the following systems of inequalities best models the possible range of values for the energies of atoms

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B

\newline

1

\newline

\left\{\begin{array}{l}a<2.02 b \\ a>1.98 b\end{array}\right.

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Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

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and then picking a

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\newline

Write your answer as a percentage.

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