Answer:
[tex] \displaystyle y > \frac{1}{2} x + 2[/tex]
Step-by-step explanation:
we want to figure out the inequality of the given graph to do so we can consider the following inequality
[tex] \displaystyle y > mx + b[/tex]
where:
- m represents the slope
- b represents the y-intercept
from the graph we acquire that b (y-intercept) is 2
to figure out m we can consider the following formula:
[tex] \displaystyle m = \frac{ \Delta y}{ \Delta x} [/tex]
since the change in y is 1 and x is 2 we obtain:
[tex] \displaystyle m = \frac{ 1}{ 2} [/tex]
altogether substitute which yields:
[tex] \displaystyle y > \frac{1}{2} x + 2[/tex]
and we are done!
