Question

Create five ordered pairs that will make the inequality 2x < y + 6 true.

Answer 1

To create five ordered pairs that make the inequality 2x < y + 6 true, substitute different values for x and solve for y. Choose values of x, such as 1, 2, 3, 4, and 5, and solve for y by substituting them into the inequality.

Step-by-step explanation:

To create five ordered pairs that make the inequality 2x < y + 6 true, we need to substitute different values for x and y and check if the inequality holds. Let's choose some values for x and solve for y.

1. Let x = 1. Substitute it into the inequality: 2(1) < y + 6. Simplify: 2 < y + 6. Subtract 6 from both sides: -4 < y. So, one ordered pair is (1, any value of y that is greater than -4).
2. Let x = 2. Substitute into the inequality: 2(2) < y + 6. Simplify: 4 < y + 6. Subtract 6 from both sides: -2 < y. Another ordered pair is (2, any value of y that is greater than -2).
3. Continue the same process for three more values of x, such as 3, 4, and 5.
4. Remember to choose different values of y each time to create different ordered pairs.