Mathematics: Find the number set which satisfies each of the problems. If 20 is added to the number, the absolute value of the result is 6.

Find the number set which satisfies each of the problems.

Cassandoo

30.01.2022

{-14,-26}

Step-by-step explanation:

Let x be the number.

Given statements: If 20 is added to the number, the absolute value of the result is 6.

i.e. |x+20| =6

Since $|y|=c \Rightarrow y= c \text{ or } y = -c$

So, $|x+20| =6\Rightarrow\ x+20=6\text{ or }x+20=-6$

$\Rightarrow\ x= 6-20\text{ or } x= -6-20\\\\\Rightarrow\ x=-14\text{ or } x=-26$

hence, set of values of x = {-14,-26}

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derrickgatson48

19.01.2021

To find the amount of money increase you'll do:
50 × 12% (0.12) = $6.
Add the increase money to $50 and you'll get
50 + 6 = $56 as your answer

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