Pls help! Thank you! (10 points)

{-1, 1}

Step-by-step explanation:

The x-intercept is the x value when y = 0.

Another way to reword that is when the graph crosses the x-axis.

We see from the graph that the graph crosses the x-axis when x = -1 and x = 1. Therefore, those are our x-intercepts.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is