Question

What are the two equations created by the inequality |x–12| + 5 < 27? y1= and y2=

Answer 1

y1= |x-12|

y2= 22

Which graph represents the two functions? Graph 3

Explanation:

Answer 2

First we rewrite the expression:
| x-12 | <27-5
| x-12 | <22
Then
We write the problem as a compound inequality:
-22 <x-12 <22
From here, we obtain 2 equations:
-22 <x-12
x-12 <22
Rewriting:
-x + 12> 22
x-12 <22
Answer:
the two equations created by the inequality | x-12 | + 5 <27 are:
-x + 12> 22
x-12 <22