1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
devlian [24]
3 years ago
11

Solve the inequality |x| < 5. {x|-5 < x < 5} {x|x < -5 ∪ x > 5} {x|x -5 ∪ x < 5}

Mathematics
1 answer:
sesenic [268]3 years ago
8 0

ANSWER

The correct answer is A

{x|-5}


<u>EXPLANATION</u>

|x|


This implies that

x


We solve the compound inequality to obtain,


x-5

Remember that, dividing through by negative 1 reverses the inequality sign

The solution set is

{x|-5}


You might be interested in
(Algebra) Can anybody help me with this please and thank you
Fudgin [204]
1. A
2. L
3. Q
4. P
5. X
6. H
7. (-4,1)
8.(1,4)
9.(-4,-3)
10.(0,-4)
11. (-2,-1)
12. (5,-4)
5 0
2 years ago
Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also fi
Nastasia [14]

Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}=  \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}

point of intersection is (8/3,14/3,8/3)

and ratio of division is 2:1

5 0
3 years ago
Geometrymodel give each triangle a different color
Citrus2011 [14]
What are you asking? 
7 0
2 years ago
The test scores of a geometry class are given below. 90, 75, 72, 88, 85 The teacher wants to find the variance for the class pop
ella [17]
The data given as a whole would be called ungrouped data. Now to get the variance, you will need the formula:

s^2=   <u>Σ(x-mean)^2</u>
                   n      

x = raw data
mean = average of all data
n = no. of observations
s^2 = variance

Now we do not have the mean yet, so you have to solve for it. All you need to do is add up all the data and divide it by the number of observations. 

Data: <span>90, 75, 72, 88, 85        n= 5  
</span>Mean=<u>Σx</u>
            n
Mean = <u>90+75+72+88+85 </u>  = <u>410</u> = 82
                        5                        5

The mean is 82. Now we can make a table using this.

The firs column will be your raw data or x, the second column will be your mean and the third will be the difference between the raw data and the mean and the fourth column will be the difference raised to two. 

90-82 = 8
8^2 =64

75-82 = -7
-7^2 =49

72-82 = -10
-10^2=100

88-82=6
6^2 = 12

85-82=3
3^2=9

Now you have your results, you can now tabulate the data:

 x      mean         x-mean        (x-mean)^2     
90       82                8                      64                       
75       82               -7                      49
72       82              -10                    100
88       82                6                       36
85       82                3                       9

Now that you have a table, you will need the sum of (x-mean)^2 because the sigma sign Σ in statistics, means "the sum of."

64+49+100+36+9 = 258

This will be the answer to your question. The value of the numerator of the calculation will be 258.

 
<u>
</u>
6 0
3 years ago
Here is my statement about the luxury destinations
Hunter-Best [27]
Jhhhchbuhgv Gunn hub ghhhb
7 0
3 years ago
Other questions:
  • Select the correct answer.
    6·2 answers
  • Any one know the answer
    8·1 answer
  • Write the following in slope intercept form:
    13·1 answer
  • Which function represents a horizontal
    11·2 answers
  • PLEASE HELP ME ANSWER THIS QUESTION
    12·1 answer
  • Since YouTube first became available to the public in mid-2005, the rate at which video has been uploaded to the site can be app
    13·1 answer
  • You and your friend are both saving your allowance for your summer vacation you have $48.50 in the bank
    14·1 answer
  • What letter comes next y, b, w,d,u,f,
    10·1 answer
  • What is the domain of the function y = StartRoot x EndRoot?
    8·2 answers
  • Please help asap pre alg
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!