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

-14 and -26

Explanation:

The boxes that are left over can just be blank you don't have to fill them

Answer 2

Answer: {-14,-26}

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}