Question

Which linear inequality will not have a shared solution set with the graphed linear inequality?

Answer 1

Answer:

C. y > 5/3x + 2

Answer 2

Answer:

Option C.

Step-by-step explanation:

Consider the below graph attached with this question.

The graph show the shaded area of

$y$

We need to find a linear inequality that will not have a shared solution set with the graphed linear inequality.

It means the related of required inequality must be parallel to related line of given inequality.

The related equation is

$y=\frac{5}{3}x+1$

Here, the slope of the line is 5/3.

Slope of two parallel line are same. So, the slope of required related line must be 5/3.

The related line $y=\frac{5}{3}x+2$ lies 1 unit up to the given related line.

$y$

Here, the sign of inequality is >, it means the shaded region lies above the line.

The given inequality and $y$ have no shared solution.

Therefore, the correct option is C.