Question

Another way to write the value absolute value inequality |p|<12

Answer 1

Explanation:

`For\ a>0\\\\|x|<a\Rightarrow x<a\ \wedge\ x>-a\\\\|x|>a\Rightarrow x>a\ \wedge\ x<-a\\\\===============================\\\\|p|<12\Rightarrow p<-12\ \wedge\ p>-12\Rightarrow-12<p<12`

Answer 2

-12 <p <12

Explanation:

|p|<12

We can write this without the absolute values

Take the equation with the positive value on the right hand side and take the equation with a negative value on the right side remembering to flip the inequality. Since this is less than we use and in between

p < 12 and p >-12

-12 <p <12