Bill lent some money to his two brothers. he wrote down the amounts so he would not forget. the list shows his younger brother with −$12.75 and his older brother with $0. which of the following statements best describes the amounts? the younger brother paid bill $12.75, and the older brother does not owe him any money. the younger brother owes bill $12.75, and the older brother does not owe him any money. the older brother paid bill $12.75, and the younger brother does not owe him any money. the older brother owes bill $12.75, and the younger brother does not owe him any money.

The answer's option B.

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

answ5

step-by-step explanation:

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