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
Snezhnost [94]
2 years ago
12

Solving an Absolute Value Equation

Mathematics
1 answer:
Andre45 [30]2 years ago
8 0

Answer:

Solution set = {-12, 12}

Step-by-step explanation:

Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:

-\,|-x|=-\,12\\|-x|=12

Now we consider the two possible cases:

1) The expression inside the absolute value symbol is a positive number, then :

|-x|=-x\\

and replacing it in the equation, this becomes:

|-x|=12\\-x=12\\x=-12

which is our first answer.

2) The expression inside the absolute value symbol is a negative number, then :

|-x|=x\\

and replacing it in the equation, this becomes:

|-x|=12\\x=12

which is our second possible answer.

Then the set of solutions is: {-12, 12}

You might be interested in
Simplify for this question !
PolarNik [594]

Answer:

=6x^9-3 [12/2=6]

=6x^6

6 0
3 years ago
Read 2 more answers
Help help help help what is the answer −5(4x−3)−x+5=190!!!
artcher [175]
X=8.5
190-5=185
185/-5=-37
-37-3=-34
34/4=8.5

8 0
3 years ago
Tom jogged 3/5 mile on Monday and 2/6 mile on Tuesday. how much farther did Tom jog on Monday than on tuesday
pashok25 [27]
3/5= 18/30, 2/6= 10/30, so Tom jogged 8/30 more of a mile on Monday then tuesday
7 0
3 years ago
Read 2 more answers
Hi guys<br>I need 3 minus and plus operations with answer thx!​
nata0808 [166]

1999+1001=3000 1091+1009=3000 2000+1000=3000

3000-1001=1999 3000-1009=1091 3000-2000=1000

8 0
2 years ago
Work out and simplify where possible <br><br> a) 2/5+1/3<br><br> b) 5/9-1/2
Vlad1618 [11]
The answer is
a) 11/15
b) 1/18
5 0
3 years ago
Other questions:
  • The top of a square table is covered with four equal square tiles. If the side length of each tile is decreased by 50%, how many
    5·2 answers
  • Need help answering question 4
    5·1 answer
  • the distance between two lakes is 300 miles. on a map, the measured distance between the lakes is three-fourths of costs $24.00
    9·1 answer
  • I need help please ive been on this for like 20 mins
    13·1 answer
  • There are 20 tiles in a bag. Of these, 9 are purple, 5 are black and the rest are white.
    8·1 answer
  • A vehicle costs £17754 including vat at 20%. What was the price of the vehicle before vat was added
    5·1 answer
  • Lucy is a waitress. At the end of the night she must give 12% of her tips to the cleaning crew. How much does she go home with i
    13·2 answers
  • 12. Find mZADE.<br> (4x + 15)° <br> (13x + 7)
    9·1 answer
  • 1
    13·2 answers
  • Consider the function f whose graph is shown below. Find f(-2)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!