State the domain of the following set of points {(3, 5)(10, 17)(7, 10)(1, 9)}

Given that the set of points is {(3, 5)(10, 17)(7, 10)(1, 9)}

We need to determine the domain of the set of points.

Domain:

The domain is the set of all possible values for the independent variable x.

In other words, the domain is the set of all possible x - values of the function, for which the function is real and well defined.

Domain refers the set of all x - coordinates of the function.

Thus, from the set of points {(3, 5)(10, 17)(7, 10)(1, 9)}, the domain is the set of all x - values of the given points.

Hence, we get;

Domain = {3, 10, 7, 1}

Thus, the domain of the set of points is {3, 10, 7, 1}

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

this is false ^.^ lol