Question

Which statements are true about the linear inequality y > x – 2? Check all that apply.
The slope of the line is –2.
The graph of y > x – 2 is a dashed line.
The area below the line is shaded.
One solution to the inequality is (0, 0).
The graph intercepts the y-axis at (0, –2).

Answer 1

Answer:

Statements No. 2, 3, 4, 5 are true

Step-by-step explanation:

Given linear inequality is

y > x - 2

The equation can be written in equation form as

y = x - 2 .... (A

Comparing equation (A)  with standard equation of line y = mx +c, we find that

m= 1

c = -2

Now m represents the slope of line and c represents the point where line touches y axis.

Now lets check correct statements.

1. The slope of line is 1, so our first statement is  wrong.
2. The graph of line will be dashed as the the inequality has only greater than sign, so our statement is correct.
3. if we substitute x= 0 and y =0 in the above equation we get  0 > -1. This statement is true so the solution of the inequality will lie below the line and toward the origin. The solution region is always shaded, so our statement is correct.
4. As we have checked in the above point (0, 0) satisfy the above equation, so our statement is correct.
5. As we know the graph touches the y axis at c = - 2, so our statement is correct.