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brilliants [131]
11 months ago
10

Which graph shows the solution of the inequality −|x − 2| + 9 > 6?

Mathematics
1 answer:
mariarad [96]11 months ago
4 0

answer is -1 < x < 5

-|x - 2|+ 9 > 6

Rearrange the terms

-|x - 2| > 6 - 9

-|x - 2| > - 3

then divide both sides of the inequality by the co- efficient of variable

|x - 2| < 3

convert the absolute inequality to standard inequality

-3 <x - 2 < 3

separate compound inequalities into system of inequality

{x - 2}> -3

{x - 2 < 3}

Rearrange variable to the left side of the equation

x > -3 + 2                    

calculate the sum or difference

x > -1

x -2 < 3

Rearrange variable to the left side of the equation

x < 3 + 2

calculate the sum or difference

x < 5

x > -1 and x < 5

Find intersection

-1 < x < 5

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are deemed equal which is shown by the symbol =. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

learn more about inequality equation here :https://brainly.in/question/15934172

SPJ9

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The answer should be $200.
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3 0
3 years ago
Solve to find X. 1/5(x - 2) = 1/10 (x + 6)
LenaWriter [7]

Answer:

x = 10

Step-by-step explanation:

First, distribute:

\frac{1}{5} x - \frac{2}{5} =\frac{1}{10} x+\frac{6}{10}

Next, subtract \frac{1}{5}x from both sides:

-\frac{2}{5} = \frac{1}{10} x -\frac{1}{5} x+\frac{6}{10}

(multiply \frac{1}{5}x by 2 to get common denominator, \frac{2}{10} x )

-\frac{2}{5} =-\frac{1}{10}x +\frac{6}{10}

Next, subtract \frac{6}{10} from both sides:

-\frac{2}{5} -\frac{6}{10} =-\frac{1}{10} x

(multiply \frac{2}{5} by 2 to get common denominator, \frac{4}{10} )

-\frac{10}{10} =-\frac{1}{10} x ⇒ -1=-\frac{1}{10} x

Next, multiply both sides by 10:

-10=-x

FInally, divide both sides by -1:

x = 10

3 0
2 years ago
Read 2 more answers
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vlada-n [284]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Part A: The Sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the Sun produce in 1
dimaraw [331]

Answer:

I have the answer to part A. just do 10,000,000* 1.55 and you should get 15,000,000.

Step-by-step explanation:

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2 years ago
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Illusion [34]

Answer:

C) p + 3 < 20

Step-by-step explanation:

Since the max is 20, it has to be < 20

p + 3 < 20

5 0
2 years ago
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