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

(1,1)

Explanation:

Answer 2

(1, 1)

Explanation:

Check by inserting values into the inequality.

y > ⅗x - 2

(a) (5, 0)

0 > ⅗(5) - 2

0 > 3 - 2

0 > 1

FALSE

(b) (0, -2)

-2 > ⅗(0) - 2

-2 > -2

FALSE

(c) (1, 1)

1 > ⅗(1) - 2

1 > ⅗ - 2

1 > -1⅖

TRUE

(c) (-5, -6)

-6 > ⅗(-5) - 2

-6 > -3 - 2

-6 > -5

FALSE

The only point that is a solution is (1, 1).

You can also solve this problem graphically.

The pink area represents the points that satisfy the inequality. The line is dashed to show that points on the line do not satisfy the inequality.

The only point that is in the pink area is (1, 1).