Algebra-1

To determine which number is a possible value for y, we need to find the range of possible value for y.

 

Given:

|x - y| < 6

x = 7

 

Substitute x = 7 into the inequality:

|7 - y| < 6

 

It can be rewritten as a compound inequality: The inequality -6 < 7 - y < 6.

 

Solve for y:

-6 < 7 - y < 6

-6 - 7 < 7 - y - 7 < 6 - 7 (subtract 7 from all parts of the inequality)