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 $-8$ and less than $-5$ ? $\newline$ Choices: $\newline$ (A) $\{-8, -5\}$ $\newline$ (B) $\{-8, -7, -6, -5\}$ $\newline$ (C) $\{-8, -7, -6\}$ $\newline$ (D) $\{-8, -6\}$

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

-8

and less than

-5

?

\newline

Choices:

\newline

(A)

\{-8, -5\}

\newline

(B)

\{-8, -7, -6, -5\}

\newline

(C)

\{-8, -7, -6\}

\newline

(D)

\{-8, -6\}

Identify Inequality Signs: Let's first identify the inequality signs for the problem. We are looking for integers that are greater than or equal to $-8$ and also less than $-5$ . $\newline$ Inequality signs: $\geq$ and $<$
List Integers: Now we need to list the integers that satisfy both conditions. The integers greater than or equal to $-8$ are $-8, -7, -6, -5, -4,$ and so on. However, we also need these integers to be less than $-5$ .
Eliminate Integers: We will now eliminate the integers that do not satisfy the second condition, which is being less than $-5$ . This means we cannot include $-5$ and any integer greater than $-5$ .
Match with Choices: After eliminating those integers, we are left with the integers $-8$ , $-7$ , and $-6$ . These are the integers that are greater than or equal to $-8$ and less than $-5$ .
Match with Choices: After eliminating those integers, we are left with the integers $-8$ , $-7$ , and $-6$ . These are the integers that are greater than or equal to $-8$ and less than $-5$ .We will now match our result with the given choices to find the correct set notation. $\newline$ (A) $\{-8, -5\}$ includes $-5$ , which should not be in the set. $\newline$ (B) $\{-8, -7, -6, -5\}$ also includes $-5$ , which should not be in the set. $\newline$ (C) $\{-8, -7, -6\}$ does not include $-5$ and includes all integers greater than or equal to $-8$ and less than $-5$ . $\newline$ (D) $-7$ $3$ is missing $-7$ , which should be in the set.

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 3 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 3 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 3 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 3 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 2 months ago

Question

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

, then what is the value of

-j

Posted 17 days ago