Question

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.

Answer 1

Answer: {-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}