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

option A. (1,5)

Step-by-step explanation:

we know that

The solution of the inequality is the shaded area above the dotted line

Remember that

If a ordered pair is a solution of the inequality, then the ordered pair must be satisfy the inequality

Find the equation of the inequality

Find the slope of the dotted line

The y-intercept is equal to

The equation of the dotted line is

therefore

The equation of the inequality is

Verify each case

Substitute the value of x and the value of y in the inequality and then compare the results

case A) (1,5)

------> is true

therefore

The ordered pair case A is a solution of the inequality

case B) (-3,-3)

------> is not true

therefore

The ordered pair case B is not a solution of the inequality

case C) (3,-1)

------> is not true

therefore

The ordered pair case C is not a solution of the inequality

case D) (5,-5)

------> is not true

therefore

The ordered pair case D is not a solution of the inequality

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step-by-step explanation: