All categories

3 years ago

Explain how to write the solution to the given inequality in interval notation.

Mathematics

2 answers:

dedylja [7]3 years ago

6 0

<h2>Answer:</h2>

The solution to the given inequality in interval notation is:

[-4,1]

<h2>Step-by-step explanation:</h2>

From the number line graph that is provided to us we see that the shaded region is to the right of -4 and to the left of -1.

Also, there are closed circles at -4 and -1.

This means that the solution set is the set of all the real values between -4 and -1 inclusive.

( If there would be open circles at -4 and -1 then those would not be included in the solution set )

i.e. in interval form the solution set is:

[-4,-1]

son4ous [18]3 years ago

4 0

It is negative 4 and negative 1 between those

You might be interested in

A ball is drawn at random from a box containing 12 red,18

Lubov Fominskaja [6]

<u>Answer:</u>

<u>For a:</u> The probability of getting a red or blue ball is 0.48

<u>For b:</u> The probability of getting a white, blue or orange ball is 0.81

<u>For c:</u> The probability of getting neither white or orange ball is 0.48

<u>Step-by-step explanation:</u>

Probability is defined as the extent to which an event is likely to occurs. It is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}$ .......(1)

We are given:

Number of red balls in a box = 12

Number of white balls in a box = 18

Number of blue balls in a box = 19

Number of orange balls in a box = 15

Total balls in a box = [12 + 18 + 19 + 15] = 64

<u>For a:</u>

Number of favorable outcomes (ball must be red or blue) = [12 + 19] = 31

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a red or blue ball}=\frac{31}{64}=0.48$

<u>For b:</u>

Number of favorable outcomes (ball must be white or blue or orange) = [18 + 19 + 15] = 52

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a white or blue or orange ball}=\frac{52}{64}=0.81$

<u>For c:</u>

Number of favorable outcomes (ball must be white or orange) = [18 + 15] = 33

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a white or orange ball}=\frac{33}{64}=0.52$

Probability of getting a ball which is neither white or orange = [1 - (Probability of getting a white or orange ball)] = [1 - 0.52] = 0.48

7 0

3 years ago

Which of the following inequalities are true A.10 < 9, B. 9 < 10, C. 10 > 9, D. 9 (is less than or equal to ) 10

Thepotemich [5.8K]

Answer:

B. 9 < 10,

C. 10 > 9,

D. 9 (is less than or equal to ) 10

Step-by-step explanation:

A.10 < 9, not true 10 is greater than 9

B. 9 < 10, true 9 is less than 10

C. 10 > 9, true 10 is greater than 9

D. 9 (is less than or equal to ) 10 true 9 is less than or equal to 10

5 0

3 years ago

What is the value of x in the equation 2x + 3y = 36, when y = 6?

atroni [7]

X would equal 9. Subtract 18 from both sides then divide by two to get 9 as X

7 0

3 years ago

Read 2 more answers

Solve for f(-2) <br> PLEASE HELPPPPP

viva [34]

Answer:

5/9

Step-by-step explanation:

f(x) = 5 * 3^x

Let x = -2

f(-2) = 5 * 3^-2

We know a^-b = 1/a^b

= 5 * 1/3^2

= 5/9

7 0

3 years ago

Read 2 more answers

Consider three equal sources m in a triangular configuration: one at (a/2, 0), one at (−a/2, 0) and one at (0, a). Plot the stre

belka [17]

Answer:its the third one i took the test

Step-by-step explanation:

4 0

3 years ago