Question

Determine which of the ordered pairs are a part of the solution set of y + 3 < 2x – 1.

a. (0, 0)

b. (2, 0)

c. (0, –4)

d. (2, –2)

Answer 1

After substituting each ordered pair into the inequality y + 3 < 2x - 1, only the ordered pair (2, -2) satisfies the inequality, making it the only solution from the given options.

Step-by-step explanation:

To determine which ordered pairs are part of the solution set of y + 3 < 2x – 1, we'll substitute each ordered pair into the inequality.

1. (0, 0): Substitute 0 for both x and y:
   0 + 3 < 2(0) – 1
   3 < -1, which is not true.
2. (2, 0): Substitute 2 for x and 0 for y:
   0 + 3 < 2(2) – 1
   3 < 3, which is not true.
3. (0, –4): Substitute 0 for x and -4 for y:
   (-4) + 3 < 2(0) – 1
   -1 < -1, which is not true.
4. (2, –2): Substitute 2 for x and -2 for y:
   (-2) + 3 < 2(2) – 1
   1 < 3, which is true.

Only the ordered pair (2, –2) is a part of the solution set for the given inequality.