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 [tex]|y|=c \Rightarrow y= c \text{ or } y = -c[/tex]
So, [tex]|x+20| =6\Rightarrow\ x+20=6\text{ or }x+20=-6[/tex]
[tex]\Rightarrow\ x= 6-20\text{ or } x= -6-20\\\\\Rightarrow\ x=-14\text{ or } x=-26[/tex]
hence, set of values of x = {-14,-26}
