Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

View step-by-step help

Set-builder notation

Full solution

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

-3

and less than or equal to

2

?

\newline

Choices:

\newline

(A)

\{1, 2\}

\newline

(B)

\{-2, -1, 0, 1, 2\}

\newline

(C)

\{-3, -2, -1, 0, 1, 2\}

\newline

(D)

\{-3, -2, -1\}

Identify Range: Identify the range of integers that satisfy the given conditions. $\newline$ We are looking for integers that are greater than or equal to $-3$ and less than or equal to $2$ . This means we need to include all integers starting from $-3$ up to $2$ .
List Integers: List all the integers within the range identified in Step $1$ . $\newline$ Starting from $-3$ , the integers are $-3$ , $-2$ , $-1$ , $0$ , $1$ , and $2$ . These are all the integers that are greater than or equal to $-3$ and less than or equal to $2$ .
Match Choices: Match the list of integers with the given choices to find the correct set. $\newline$ (A) $\{1, 2\}$ does not include all the integers from $-3$ to $2$ . $\newline$ (B) $\{-2, -1, 0, 1, 2\}$ does not include $-3$ . $\newline$ (C) $\{-3, -2, -1, 0, 1, 2\}$ includes all the integers from $-3$ to $2$ . $\newline$ (D) $\{-3, -2, -1\}$ does not include $0$ , $-3$ $0$ , or $2$ . $\newline$ The correct set that includes all integers from $-3$ to $2$ is (C) $\{-3, -2, -1, 0, 1, 2\}$ .

More problems from Set-builder notation

Question

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

S = \{2, 12\}

R \cup S

\newline

\newline

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

\newline

\Phi

\newline

\{2, 4, 12\}

\newline

\{-4, 2\}

Posted 2 months ago

Question

Which is the set of integers greater than or equal to

0

and less than or equal to

6

\newline

\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\}

Posted 2 months ago

Question

Which is the set of numbers less than

-13

\newline

\newline

\{x|x = -13\}

\newline

\{x|x < -13\}

\newline

\{x|x > -13\}

\newline

\{x|x \leq -13\}

Posted 2 months ago

Question

What interval does this inequality represent?

\newline

\newline

[A](-3,\infty)

\newline

[B](-3,\infty)

\newline

[C](-\infty,-3)

\newline

[D](-\infty,-3]

Posted 2 months ago

Question

Which of the following expressions is equivalent to

\newline

106 \times 3.7

\newline

1

\newline

106 \times 37 \div 10

\newline

106 \times 37 \div 100

\newline

106 \times 37 \div 1,000

\newline

106 \times 37 \div 10,000

Posted 4 months ago

Question

What is the value of

x^{6}+y^{2}

x=1

y=9

Posted 1 month ago

Question

What is the value of

y^{2}-x^{2}

x=5

y=6

Posted 2 months ago

Question

What is the value of

y^{2}-x^{4}

y=8

x=2

Posted 4 months ago

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

A

B

\newline

1

\newline

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

\newline

\left\{\begin{array}{l}a<2 b+0.02 \\ a>2 b-0.02\end{array}\right.

\newline

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

\newline

\left\{\begin{array}{l}b<2 a+0.02 \\ b>2 a-0.02\end{array}\right.

Posted 1 month ago

Question

2+2(8347-4783)=-2 j

, then what is the value of

-j

Posted 6 days ago