Answer: -3 and 3
Step-by-step explanation:
16<2(3x-1)<28 divide all terms by 2
8<3x-1<14 add 1 to all terms
9<3x<15 divide all terms by 3
3<x<5
x=(3,5) in interval notation
On a number line, it would be a line segment from 3 to 5 with open circles at 3 and 5.
On a coordinate system graph, it would be an infinitely high shaded plane between the vertical lines x=3 and x=5
The slope of the line = 1/2
When solving this inequality, you would do the inverse to the other side.
Subtraction is the inverse of addition.
So,
n + 9 (-9) <-3 (-9)
n<-12
When you subtract two negative numbers, you continue to the left of the number line.
I hope this helps!
~cupcake
