Question

Which of the following is a solution to this inequality? y greater than three fifths times x minus 2 (5, 0) (0, −2) (1, 1) (−5, −6)

Answer 1

the answer is 1,1

Answer 2

(1,1)

Explanation:

we have

`y > (3)/(5)x-2`

we know that

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

Verify each ordered pair

case A) we have

(5,0)

Substitute the value of x and y in the inequality

`0 > (3)/(5)(5)-2`

`0 > 1` ----> is not true

therefore

The ordered pair is not solution to the inequality

case B) we have

(0,-2)

Substitute the value of x and y in the inequality

`-2 > (3)/(5)(0)-2`

`-2 > -2` ----> is not true

therefore

The ordered pair is not solution to the inequality

case C) we have

(1,1)

Substitute the value of x and y in the inequality

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

`1 > -(7)/(5)` ----> is true

therefore

The ordered pair is a solution to the inequality

case D) we have

(-5,-6)

Substitute the value of x and y in the inequality

`-6 > (3)/(5)(-5)-2`

`-6 > -5` ----> is not true

therefore

The ordered pair is not solution to the inequality