Question

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

Answer 1

A. (1, 5)

Explanation:

Apex

Hope this helps Have a nice day

Answer 2

option A. (1,5)

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

`m=(-1+3)/(3+3)=1/3`

The y-intercept is equal to
`b=-2`

The equation of the dotted line is

`y=(1/3)x-2`

therefore

The equation of the inequality is

`y>(1/3)x-2`

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)

`5>(1/3)(1)-2`

`5>-(5/3)` ------> is true

therefore

The ordered pair case A is a solution of the inequality

case B) (-3,-3)

`-3>(1/3)(-3)-2`

`-3>-3` ------> is not true

therefore

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

case C) (3,-1)

`-1>(1/3)(3)-2`

`-1>-1` ------> is not true

therefore

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

case D) (5,-5)

`-5>(1/3)(5)-2`

`-5>-1/3` ------> is not true

therefore

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