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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

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A

Step-by-step explanation:

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20 is not < 20 so A is false

All the rest are true
(B) |9| = 9

(C) |-20| = 20 > 9

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4 0
2 years ago
How many sites are show in this data set?
andre [41]

Answer:

The total number of sites are 15 .

Step-by-step explanation:

As shown in question.

The number of sites in 2 shield darter = 3

The number of sites in 3 shield darter = 1

The number of sites in 4 shield darter = 4

The number of sites in 6 shield darter = 2

The number of sites in 7 shield darter = 3

The number of sites in 8 shield darter = 1

The number of sites in 9 shield darter = 1

Thus

Total number of sites =  Number of sites in 2 shield darter + Number of sites in 3 shield darter +  Number of sites in 4 shield darter +  Number of sites in 6 shield darter +  Number of sites in 7 shield darter  +  Number of sites in 8 shield darter + Number of sites in 9 shield darter

Putting the values in above

                                  = 3 + 1 + 4 + 2 + 3 + 1 +1

                                  = 15

Therefore the total number of sites are 15 .

3 0
3 years ago
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7 0
3 years ago
Solve for x: 5x\10=2 is it (a) 1 (b) 4 (c) 5 (d) 20
OleMash [197]
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6 0
3 years ago
Does anyone understand this if so can someone tell me how I do this and explain how to do it thank you!
dexar [7]

The ending balance for January 2018 was $1056.37

Step-by-step explanation:

Step 1; Whenever you make a payment, make a cash withdrawal, a payment through debit card or an automatic payment the money in your account decreases as you're giving your money to someone else. So the amount of money spent or taken is reduced from the balance in your account.

Whenever you get your paycheck or make a deposit the money you have in your account increases. So the amount of money put in or the money you are paid is added with the balance you have in your account.

Step 2; Total deposits mean all the money that was added into your account. In this month's summary, the individual didn't deposit any money into their account but did get paid twice. They got paid their paycheck twice. The amount paid was $645.30. So total amount deposited was 2 * $645.30= $1290.60.

Step 3; Total withdrawals were all the payments you made to someone else. In the month of January payments were; $ 158.25 to the plumber, $168.36 for the car payment, $157.42 for the cable bill and $148.46 for the phone bill. All these amounts were deducted from the account balance.

Step 4; So this is how to calculate the final balance.

$398.26 was the initial balance, $ 158.25 to the plumber, $168.36 for the car payment, $157.42 for the cable bill, $645.30 was paid through a paycheck, $148.46 for the phone bill and another $645.30 was another paycheck.

So the balance was = $398.26 - $158.25 - $168.36 - $157.42 + $645.30 - $148.46 + $645.30 = $1,056.37

6 0
3 years ago
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