Which point is a solution to the inequality shown in this graph

Step 1

Find the equation of the line of the inequality

Let

Find the slope of the line

The slope is equal to

substitute the values

Find the equation of the line into point-slope form

we have

substitute in the equation

Find the equation of the inequality

The solution is the shaded area above the dotted line

so the inequality is

If a point is the solution of the inequality, then it must satisfy the inequality. Let's check each of the points

Step 2

case A)

Substitute the values of x and y in the inequality

-----> is not true

therefore

the point is not solution of the inequality

Step 3

case B)

Substitute the values of x and y in the inequality

-----> is not true

therefore

the point is not solution of the inequality

Step 4

case C)

Substitute the values of x and y in the inequality

-----> is not true

therefore

the point is not solution of the inequality

Step 5

case D)

Substitute the values of x and y in the inequality

-----> is true

therefore

the point is a solution of the inequality

therefore

the answer is

income. 10x+1300

expenses 3x+(1800+1500)

expenses 3x+3300

to break even:

income = expense,

10x + 1300 = 3x + 3300,

solve for x.

step-by-step explanation:

mark brainliest