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
natta225 [31]
3 years ago
9

Solve the inequality l 3x + 6l < 12

Mathematics
1 answer:
aleksandrvk [35]3 years ago
6 0

In this question , we have to solve the given inequality question.

When removing the absolute sign , we will get a compound inequality which is

-12<3x+6<12

Now whatever we do in the middle, we have to do to both sides.

First we get rid of 6, and for that, we subtract 6

-12-6<3x+6-6<12-6

-18<3x<6

Now we need to get rid of 3, and for that we divide whole inequality by 3, that is

-6<x<2

You might be interested in
1) What is the solution of the given system?
m_a_m_a [10]

Answer:

1  x=-2.5  y = -5.5

2.  x=5  y=1

Step-by-step explanation:

1) What is the solution of the given system?

5x-y=-7

3x-y=-2

Multiply the second equation by -1

-1*(3x-y)=-1(-2)

-3x +y = 2


Now add the first equation to the modified second equation

5x-y=-7

-3x +y = 2

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

2x = -5

Divide each side by 2

2x/2 = -5/2

x = -2.5

Now we need to find y

-3x+y =2

-3(-2.5) +y =2

7.5 +y =2

Subtract 7.5 from each side

7.5 -7.5 +y =2-7.5

y = -5.5


2) what is the solution of the given system?

5x+7y=32

8x+6y=46

Divide the second equation by 2

8x/2+6y/2=46/2

4x+3y =23


Multiply the first equation by 4

4 (5x+7y)=32*4

20x+28y = 128


Now multiply the modified 2nd equation by -5

-5(4x+3y )=-5(23 )

-20x -15y = -115


Lets add the new equations together to eliminate x

20x+28y = 128

-20x -15y = -115

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

      13y = 13

Divide each side by 13

13y/13 =13/13

y=1

Now substitute back in to find x

5x+7y=32

5x +7(1) =32

5x +7 =32

Subtract 7 from each side

5x+7-7 =32-7

5x =25

Divide by 5

5x/5 =25/5

x=5





3 0
3 years ago
Set A contains three different positive odd integers and two different positive even integers; set B contains two different posi
Lostsunrise [7]

Answer:

\frac{2}{5}*\frac{3}{5} +\frac{2}{5}*\frac{2}{5}+\frac{3}{5} *\frac{3}{5}  = \frac{19}{25}

Step-by-step explanation:

We must remember that in order to get one even number we need to multiply one even number times one odd number or two even numbers. So, the first term tells the probability of having an even number from A and an even number from B, the next would be even from A and odd from B and the last one tells the likelihood of having odd from A and even from B

3 0
3 years ago
3. Liz works at a computer outlet. She receives a weekly salary of $200 plus 3% commission on her sales. Last week, she sold
jek_recluse [69]

Answer:

$10,091

Step-by-step explanation:

(.03x29,700)+200

5 0
3 years ago
Read 2 more answers
How do I graph this someone plz tell me.
hodyreva [135]
Easy. your starting point is going to be at -2 on the y-axis. then from that point (-2) you're going to go down 1 and then over 2. then draw a straight line through those two points. The line should be a negative line.
7 0
3 years ago
Write an equation of the line that passes through (-6, 0) and (0, -24)
krok68 [10]

Answer:

+4

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $14,500 in 19
    13·1 answer
  • Which equation represents the line that passes through points (2, 0) and (6, -8)?
    15·1 answer
  • Determine whether 6/7 and 30/35 are equivalent
    8·2 answers
  • Evaluate the expression when x = 1/2 and y = -2/5. Show all work.<br>1. -x + y<br>2. x +2y
    7·1 answer
  • All odds I<br> But I don't understand the fraction ones
    15·1 answer
  • Jayden and Caden share a reward of 140 in a ratio of 2: 5. What fraction of the total reward does Jaden get?
    14·2 answers
  • 2x-5=33<br><br>what's the work ? &gt;&lt;
    5·2 answers
  • I seriously need help with this. I pay attention in class it's just so confusing!! I'm giving extra points. Now 15. Please tell
    13·1 answer
  • Which of the following would have NO association if plotted on a scatterplot?
    10·2 answers
  • Pls help due soon!! (no scam answers or links) :)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!