Question

Which statements are true about the linear inequality y >3/4 x – 2? Check all that apply.

Answer 1

Answer:

B, D, and E.

Step-by-step explanation:

your welcome

Answer 2

we have

$y > \frac{3}{4}x-2$

using a graph tool

see the attached figure

The solution is the shaded area

Statements

A The slope of the line is $-2$.

The statement is False

Because the slope of the line is equal to $\frac{3}{4}$

B The graph of $y > \frac{3}{4}x-2$ is a dashed line

The statement is True

The graph of the inequality is a dashed line, because  it has no equal signs in the problem

C The area below the line is shaded

The statement is False

Because The solution is the area above the dashed line

D One solution to the inequality is $(0,0)$

The statement is True

because

For $x=0$ and $y=0$

substitute in the inequality

$0 > \frac{3}{4}*0-2$

$0 > -2$ -------->  the inequality is satisfied

E The graph intercepts the y-axis at $(0,-2)$

The statement is True

see the attached figure