Answer:
Option C - 2x + y > 2
Step-by-step explanation:
We don’t have to do some serious math here. We can already eliminate half of the options just looking at it, because the graph has a dotted line, which means it does not include those values.
So, choses A and B are eliminated because the inequality shows the ≥ and ≤ symbol, which means that it does include those values. It’s either C or D because they have the > and < symbol, which means that the inequality does not include those values.
To have a better look at the inequalities, write them in slope-intercept form, which is y=mx+b:
Option C: y > -2x + 2
Option D: y < -2x +2
Just looking at the inequlaity symbol, we can tell that Option C is the correct one because it shows that all the y-values are greater than -2x + 2. Which is true because it’s shaded above the line. When it’s shaded above the line, it means that the y-values are greater.
To make sure my answer was correct, I graphed Option C. The image below shows Option C (2x + y > 2) graphed.
Hope this helps! :)
