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Yuri [45]
3 years ago
5

Solve with interval notation Solve: 5 | x − 2 | + 4 > 8

Mathematics
1 answer:
Gnesinka [82]3 years ago
5 0

Answer:

x<6/5, x>14/5

Step-by-step explanation:

Steps

$5\left|x-2\right|+4>8$

$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$

$5\left|x-2\right|+4-4>8-4$

$\mathrm{Simplify}$

$5\left|x-2\right|>4$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\frac{5\left|x-2\right|}{5}>\frac{4}{5}$

$\mathrm{Simplify}$

$\left|x-2\right|>\frac{4}{5}$

$\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad\mathrm{or}\quad\:u\:>\:a$

$x-2<-\frac{4}{5}\quad\mathrm{or}\quad\:x-2>\frac{4}{5}$

Show Steps

$x-2<-\frac{4}{5}\quad:\quad x<\frac{6}{5}$

Show Steps

$x-2>\frac{4}{5}\quad:\quad x>\frac{14}{5}$

$\mathrm{Combine\:the\:intervals}$

$x<\frac{6}{5}\quad\mathrm{or}\quad\:x>\frac{14}{5}$

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Stickers are made with the same ratio of width to length. A sticker 2 inches wide has a length of 4 inches. Complete the table.
aalyn [17]

Answer:

The explanation of this question is given below in the explanation section

Step-by-step explanation:

The data is given in form of length and width.

Then, we need to convert it into improper fraction.

As you know that, the improper fraction is a fraction where the numerator (top number) is larger than the denominator (bottom number).

So, we converted it into improper fraction i.e.

Improper fraction= lenght/width

Then we reduce the fraction into lowest form and shown in ratio as depicted in attached picture with this solution.

3 0
3 years ago
How many milliliters are in 12 teaspoons? 1tsp=5ml
dusya [7]

Answer:

There are 59.147 millimeters in 12 teaspoons!

Step-by-step explanation:

7 0
3 years ago
(PLEASE HELP ME)
Schach [20]
This right answer is D.
because -65 divided by -13 is 5
8 0
3 years ago
Read 2 more answers
How? Do you do this??
Gre4nikov [31]
X=5/2,x=2  
i cant explain it but if you got to symbolab.com and input the equation it will solve and show you the steps
5 0
3 years ago
Read 2 more answers
Helppppp
sasho [114]

Answer:

186.5 + 2x

Step-by-step explanation:

First, radify 25. Luckily it's a perfect square so it will be 5.

Second, divide within the parentheses. You're expression should look like this.

(93-5+x+42/8)2

Divide 42/8. The decimal form would be 5.25, while the fraction should be 5 1/4.

Third, solve within the parentheses from left to right. Right now you're expression should look like this:

(93-5+x+5.25)2

Add all like terms

93-5+5.25=93.25

Fourth, multiply. Right now the expression should look like this:

(93.25 + x) 2

186.5 + 2x

8 0
3 years ago
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