Math question please show work for brainliest :)
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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!