Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What inequality represents this interval? $\newline$ $(-8, \infty)$ $\newline$ Choices: $\newline$ (A) $x < -8$ $\newline$ (B) $x \geq -8$ $\newline$ (C) $x \leq -8$ $\newline$ (D) $x > -8$

View step-by-step help

View step-by-step help

Interval notation

Full solution

Q. What inequality represents this interval?

\newline

(-8, \infty)

\newline

Choices:

\newline

(A)

x < -8

\newline

(B)

x \geq -8

\newline

(C)

x \leq -8

\newline

(D)

x > -8

Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval $(-8, \infty)$ has $-8$ as the lower endpoint and $\infty$ as the upper endpoint. The parentheses indicate that $-8$ is not included in the interval, and $\infty$ is never included because it is not a finite number.
Determine Inequality: Determine the inequality that corresponds to the interval. Since $-8$ is not included, the inequality must use a ＂greater than＂ symbol. The interval extends to positive infinity, which means all numbers greater than $-8$ are included.
Match Correct Inequality: Match the correct inequality with the interval. The interval $(-8, \infty)$ corresponds to the inequality $x > -8$ , because it includes all numbers greater than $-8$ but not $-8$ itself.

More problems from Interval 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