Show that if |x + 3| < 1/2, then |4x + 13| < 3.
I have no idea how to do this. I thought I might have to use the triangle inequality thing but that got me no where
for the first equation I got a soultion of
(-7/2, -5/2)
and for the second soultion i got
(-4, -5/2)
I thought it was interesting that the upper end points on both were the same but the beggining differ by half in magnitude so I don't know how to do this problem if you could show me that would be great thanks
We know that x is between -7/2 and -5/2
If x = -7/2, what is |4x+13|? answer 2
If x = -5/2, what is |4x+13|? answer 3