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
Nesterboy [21]
2 years ago
5

Solve the inequality |6x + 2| < 10 and graph its solution.

Mathematics
1 answer:
mars1129 [50]2 years ago
8 0
This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3

Second part: when (6x + 2) is negative.

-(6x + 2) < 10   Divide both sides of inequality by -1 and change the sign.

  (6x + 2) > -10
   6x + 2 > -10
   6x > -10 - 2
   6x > -12        Divide both sides by 6.
     x > -12/6
     x > -2.

Combined solution:   x < 4/3  and x > -2

  -2 < x < 4/3.

Graph is a line on the number line between -2 and 4/3.  
 
-2 and 4/3 are excluded from solution.
You might be interested in
Please help, i have a quiz tomorrow and i need a good step by step explanation.
Fynjy0 [20]

Answer:

use additional and multiplication ONLYY

6 0
2 years ago
What is the length of segment XY?
Nadya [2.5K]

Answer:

4.5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
You bought a magazine for $3 and five notepads. You spent a total of $28. How much did each notepad cost
rosijanka [135]
$5. Subtract the cost of the magazine, $3, from the total cost, $28. Now you have $25 then you divide it by the amount of notebooks you have.
6 0
3 years ago
What is (-m)-3n if m = 2 and n = -24?
Sauron [17]

Answer:

70

Step-by-step explanation:

Knowing both values of variables m and n, you could substitute each of the values inside the equation.

=(-(2))-3(-24)

=(-2)+72

=70

Hope it helped! (:

3 0
2 years ago
There are 8 friends who want to have a snowball fight so they organize themselves into 4 teams. If each team, before the snowbal
ExtremeBDS [4]
Its the second one: 
4 and 4 with 25 and 26
8 0
3 years ago
Other questions:
  • Write the number for one million seventy thousand .
    10·2 answers
  • What is the value of numerical expression 5/8 - 5/12 (3-1/4)+2/3
    9·1 answer
  • John can complete a paper route in 20 minutes. Steve can complete the same route in 30 minutes. How long will it take them to co
    8·2 answers
  • Hank estimated the width of the door to his classroom in feet. What is a reasonable estimate?
    13·1 answer
  • I need help finding the answer for the graph
    13·1 answer
  • Two sides of a triangle have the same length. The third side measures 2 m less than twice the common length. The perimeter of th
    8·1 answer
  • Solve the equation 1/2x=5/2x-3
    7·2 answers
  • Find the surface area?
    5·1 answer
  • Plzzzzzzzzzzzzz help ;-;
    10·2 answers
  • David can jog 4 miles in. 75 minutes.what is David’s jogging rate per hour?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!