Question

Can someone please help mee.

Answer 1

Answer:

$\displaystyle y$

Step-by-step explanation:

Graph of an inequality

The graph represented in the image is a line and we have two clear points through which the line passes.

Those points are (0,1) and (5,0).

The equation of a line can have the slope-intercept form:

y=mx+b

Substituting the point (0,1):

1=0+b

b=1

Substituting the point (5,0):

0=m(5)+1

Solving for m:

$\displaystyle m=-\frac{1}{5}$

The equation of the line is:

$\displaystyle y=-\frac{1}{5}x+1$

The origin belongs to the solution if we substitute (0,0) the inequality should stand:

0<1

Or:

0≤1

Since the line is dashed, the boundary line is not part of the solution

Thus the inequality is:

$\boxed{\displaystyle y$

Option D.