I think you meant \(\displaystyle |x - 13| < 5.\)Would it be I x-3 I< 5
So that would be 13-x=5, x=8, x>8, 13-x>5I think you meant \(\displaystyle |x - 13| < 5.\)
That answer is wrong as you can tell by letting x = 13. Obviously 13 is not at least 5 away from itself.
I like to think about inequalities by first thinking about the equivalent equality.
\(\displaystyle x - 13 = 5 \implies x = 18 \implies x > 18 \implies x - 13 > 5.\)
\(\displaystyle 13 - x = 5 \implies WHAT?\)