Math question show work for brainliest : )

Hey there!!

Remember - If you want to remove the mod, you keep this symbol on the other side ±, and you flip the values when you use the ' - ' negative sign while solving.

I x - 13 I < 18

( x - 13 )  < ±18

Let's take the negative first

x - 13 > -18 ( as we need to flip the sides )

Add 13 on both sides

x > - 5 ( this is on of the answers )

Now, let's take the positive symbol

( x - 13 ) < 18

Add 13 on both sides

x < 31 ( this is one of the answer )

Hence, the answers are x > -5 and x < 31 , option ( a )

Hope my answer helps!