Which ordered pairs make the open sentence true? 5x- y > 12 Select all the correct answers. (3, 4) (4, 9) (1, – 8) - (0, – 10) (-1, – 17

To determine which ordered pairs make the open sentence 5x - y > 12 true, we will substitute the x and y values from each ordered pair into the inequality and see if the resulting statement is true.

Let's evaluate each pair:

1. For the ordered pair (3, 4), substitute x = 3 and y = 4 into the inequality: 5(3) - 4 > 12 15 - 4 > 12 11 > 12 This is false.

2. For the ordered pair (4, 9), substitute x = 4 and y = 9: 5(4) - 9 > 12 20 - 9 > 12 11 > 12 This is also false.

3. For the ordered pair (1, –8), substitute x = 1 and y = -8: 5(1) - (-8) > 12 5 + 8 > 12 13 > 12 This is true.

4. For the ordered pair (0, –10), substitute x = 0 and y = -10: 5(0) - (-10) > 12 0 + 10 > 12 10 > 12 This is false.

5. For the ordered pair (-1, –17), substitute x = -1 and y = -17: 5(-1) - (-17) > 12 -5 + 17 > 12 12 > 12 This is not true because the inequality is strictly greater than; the two sides are equal.

From the evaluation above, the only ordered pair that makes the open sentence true is (1, –8).