How do you graph #y > 1#?

1 Answer

See the graph below


Let's talk about the graph #y>1#

The first thing to note is that there is no x term, which means that y is greater than 1 no matter what the value of x is - so whether x is 5 or -12 or whatever, the value of y will be greater than 1. So we can draw in a boundary at #y=1# and shade everything above it.

The next thing to note is that y never equals 1. When #y=1#, that creates a solid line along the boundary. But in this case, with y not equaling 1, we draw a dotted line to denote that while everything above the line is a solution to #y>1#, #y=1# is not.

graph{y>1 [-10, 10, -5, 5]}