Question

Select the correct inequality for the graph given

answers:
y > 3x - 1
y( > or = to) 3x - 1
y( < or = to) 3x - 1
y < 3x - 1

Answer 1

y<= 3x-1

Explanation:

When it comes about inequalities, keep in mind the following

the < sign means that the regions is under whatever is to other side, and the > means that the region is above whatever is on the other side of the sign

So, we see for the graphic that there is a region below a line, this suggests us that there is a < sign implied

The other thing is that there is a convention in math, is the line is graphed using a dashed line, it meas that it is not part of the region, if the line is graphed using a solid line (a continued line) then the line is inside the region, hence there is a = sign implied.

So the answer is y<= 3x-1