All categories

4 years ago

Write the solution to the given inequality in interval notation.

Mathematics

1 answer:

Mazyrski [523]4 years ago

3 0

Answer:

$(-\infty,4)\cup (5,\infty)$

Step-by-step explanation:

From the number line, the solution to the inequality is x<4 or x>5.

We can write x<4 in interval notation as (-∞,4) and x>5 as (5,∞).

The "or" represents the union of the two intervals.

Therefore the solution to the given inequality in interval notation is:

$(-\infty,4)\cup (5,\infty)$

The third choice is the correct answer.

You might be interested in

Find the product:<br><br> (r+2)(r-5)(r-2)(r+5)<br><br> Please show all steps.<br><br> 15 points.

Virty [35]

Hello from MrBillDoesMath!

Answer:

r^4- 29r^2 + 100

Discussion:

Rearrange the terms in the product as follows:

(r+2)(r-2) * (r-5)(r+5) =

(r^2 - 4) * (r^2-25) =

f^4 - (25+4)r^2 + 4*25 =

r^4- 29r^2 + 100

Thank you,

MrB

7 0

3 years ago

Read 2 more answers

In the data set below, what are the lower quartile, the median, and the upper quartile?

Studentka2010 [4]

The median, upper and lower quartiles of the data set are:

Lower Quartile = 46

Median = 49

Upper Quartile = 90

<h3>What is the Median?</h3>

The center value or middle value of a data set is the median.

<h3>What are the Upper and Lower Quartiles?</h3>

Upper quartile (Q3) is the center or middle data point of the second half of a data set.

Order the data set given as:

32, 46, 49, 49, 77, 90, 96

Lower Quartile = 32, (46), 49, 49, 77, 90, 96 = 46

Median = 32, 46, 49, (49,) 77, 90, 96 = 49

Upper Quartile = 32, 46, 49, 49, 77, (90,) 96 = 90

Learn more about the Median, Upper and Lower Quartiles on:

brainly.com/question/15572643

3 0

2 years ago

A bag contains yellow marbles and red marbles, 77 in total. The number of yellow marbles is 5 more than 3 times the number of re

bulgar [2K]

Answer:

Step-by-step explanation:

yellow marbles=5+ 3r(r is the number of red marbles)

red marbles=3r

3r+3r+5=77

6r=77-5

6r=72

r=72/6=12

yellow marbles = 5 + 3r

5+ 12 x 3

5+ 36

=41

8 0

3 years ago

Jin’s soccer team has 4 coaches and 22 players, and his twin sister’s team has 2 coaches and 11 players. If the relationship bet

nikklg [1K]

Question : Jin’s soccer team has 4 coaches and 22 players, and his twin sister’s team has 2 coaches and 11 players. If the relationship between the number of players and coaches is proportional throughout the league, which ordered pair could represent the total number of coaches and players in the entire league?

-------------------------------------------------------------------------------------------------------

Answer :

<u>26 coaches and 143 players</u>

<u />

4 0

3 years ago

Read 2 more answers

Find the volume of the sphere .

mars1129 [50]

Answer:

1436.8cm³

Step-by-step explanation:

Formula :

$\frac{4}{3} \times \pi \times r ^{3}$

$\frac{4}{3} \times \pi \times 7^{3}$

=1436.75504cm³

to 1dp

=1436.8cm³

8 0

3 years ago