Which statements are true about the graph of y < 2/3x + 1? check all that apply. the slope of the line is 1. the line is solid. the area below the line is shaded. a solution to the inequality is (2, 3). the x-intercept of the boundary line is (, 0).

 Option (3) and (5) is correct.

3) The area below the line is shaded.

5) The x-intercept of the boundary line is (-1.5,0)

Step-by-step explanation:

 Given inequality

We have to check out of given statements which statements are true about the graph of

We first plot the graph for the given inequality

And we will check all given statement one by one,

1) The slope of the line is 1.

Slope of a line is the derivative of given equation with respect to x,

Thus, slope of  given inequality is

Thus, statement is false.

2) The line is solid.

No, as the inequality has only less than sign so it will be a dotted line.

3) The area below the line is shaded.

Yes, it is clear from the graph the area below is shaded.

4) A solution to the inequality is (2, 3)

No, from graph the point (2,3) lies outside the shaded region.

5) The x-intercept of the boundary line is (-1.5,0)

Yes , x - intercept where y = 0

The x-intercept of the boundary line is (-1.5,0)

Thus, Option (3) and (5) is correct.

99

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x