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
Bingel [31]
3 years ago
9

Solve |2x - 6| > 10

Mathematics
2 answers:
Likurg_2 [28]3 years ago
8 0

Answer:

{x|x < -2 or x > 8}

Step-by-step explanation:

|2x - 6| > 10

We split the inequality into two functions, one positive and one negative.  The negative one flips the inequality.  since this is greater than, this is an or problem

2x-6 >10                 or  2x-6 < -10

Add 6 to each side

2x-6+6 > 10+6         2x-6+6 < -10+6

2x   > 16                    2x < -4

Divide by 2

2x/2 > 16/2                2x/2 < -4/2

x >8                 or        x < -2

inn [45]3 years ago
7 0

ANSWER

{x|x < -2 or x > 8}

EXPLANATION

The given absolute inequality is

|2x - 6|  \:  >  \: 10

By the definition of absolute value,

(2x - 6)\:  >  \: 10 \: or \:  \: -  (2x - 6)\:  >  \: 10

Multiply through the second inequality by -1 and reverse the inequality sign

2x - 6\:  >  \: 10 \: or \:  \: 2x - 6\:   <  \:  - 10

2x \:  >  \: 10 + 6\: or \:  \: 2x \:   <  \:  - 10 + 6

Simplify

2x \:  >  \: 16\: or \:  \: 2x \:   <  \:  -4

Divide through by 2

x \:  >  \: 8\: or \:  \: x \:   <  \:  -2

You might be interested in
Please help. Will reward brainliest
ipn [44]

Answer:

c is the answer


4 0
2 years ago
Work in the five days?
Ghella [55]

Answer:

9.3

Step-by-step explanation:

last week she worked 45.6 hours. since 40 hours is the limit for normal working hours, she worked 45.6-40 = 5.6 hours overtime.

this week she worked 9.7+8.3+8+9.1+8.6 hours = 43.7 hours.

she worked therefore 43.7-40 = 3.7 hours overtime.

so, in total of the two weeks, she worked 5.6+3.7 = 9.3 hours overtime.

7 0
3 years ago
2×7×7-3×3×3×2+3×2×2-6×6<br>I need an answer
Vadim26 [7]

Answer:

98-54+12-36

110-54-36

56-36

20<em>A</em><em>n</em><em>s</em>

3 0
1 year ago
1.toyland is having a sale all items are 20% off How much will you save on an item that usually costs $95?
ladessa [460]
T<span>oyland is having a sale all items are 20% off

so all items are sold at 1-20% = 80% of their original prices

for </span><span>an item that usually costs $95,
</span><span>
the sale price = $95 * 80% = $95 * 0.8

= $76

good luck w Mr. Horton :)

</span>
5 0
3 years ago
Read 2 more answers
there is $3080 in the math department fund. They need to deposit enough money in the fund to pay for a shipment work $2800, and
tiny-mole [99]

Answer:

3080+d > = 3300

Step-by-step explanation:

The first question to ask is how much money do they need in the fund?

They need the shipment costs plus the future shipment costs

2800+500 = 3300

They have 3080

Let d = how much they need to deposit

How much they have plus how much they need to deposit must be greater than or equal to how much they need.

3080+d > = 3300

4 0
2 years ago
Other questions:
  • Please help apex ansers
    12·1 answer
  • 896 divided by 30 I need the R
    7·2 answers
  • A geologist in South America discovers a bird skeleton that contains 77% of its original amount of C-14.
    15·1 answer
  • A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is
    9·1 answer
  • -10 94-76 5 4 3 2 1
    14·1 answer
  • Please help pick which option. I will mark brainlist.
    15·1 answer
  • Which brand of laundry detergent should Mr. Martin buy?
    12·2 answers
  • What is a decimal that is equivalent to the fraction 44/100​
    13·2 answers
  • The sum of twelve and four times a number is 36. What is the number?
    15·1 answer
  • A car that sold for $11,900 has a sales tax of $767. How
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!