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

Answer:

the answer is 1,1

Answer 2

Answer:

(1,1)

Step-by-step explanation:

we have

$y > \frac{3}{5}x-2$

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

$0 > \frac{3}{5}(5)-2$

$0 > 1$ ----> 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

$-2 > \frac{3}{5}(0)-2$

$-2 > -2$ ----> 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

$1 > \frac{3}{5}(1)-2$

$1 > -\frac{7}{5}$ ----> 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

$-6 > \frac{3}{5}(-5)-2$

$-6 > -5$ ----> is not true

therefore

The ordered pair is not solution to the inequality