Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Let $S = \{1, 3, 5, 7, 9\}$ and $T = \{5, 8, 9\}$ . What is $S \cap T$ ? $\newline$ Choices: $\newline$ (A) $\{1, 3, 5, 7, 8, 9\}$ $\newline$ (B) $\{5, 9\}$ $\newline$ (C) $\{5\}$ $\newline$ (D) $\{3, 5, 8\}$

View step-by-step help

View step-by-step help

Unions and intersections of sets

Full solution

Q. Let

S = \{1, 3, 5, 7, 9\}

and

T = \{5, 8, 9\}

. What is

S \cap T

?

\newline

Choices:

\newline

(A)

\{1, 3, 5, 7, 8, 9\}

\newline

(B)

\{5, 9\}

\newline

(C)

\{5\}

\newline

(D)

\{3, 5, 8\}

Understand Intersection Definition: Understand what $S \cap T$ represents. $\newline$ The intersection of two sets, denoted by $S \cap T$ , includes all the elements that are common to both sets $S$ and $T$ .
Identify Common Elements: Identify the common elements in sets $S$ and $T$ . We have: $S = \{1, 3, 5, 7, 9\}$ $T = \{5, 8, 9\}$ The common elements in both sets are $5$ and $9$ .
Write Intersection: Write down the intersection of $S$ and $T$ . $S \cap T = \{5, 9\}$

More problems from Unions and intersections of sets

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