Which of these ordered pairs is a solution to the inequality \( y - 2x \leq -3 \)?

A. (2, 4)
B. (–2, 3)
C. (3, 4)
D. (1, –1)

The answer is D.(1,-1) the reason is -1(y)-2 1(x)=-3 so, -1-2 1 is less than or equal to -3.

Answered by Anonymous | 2024-06-10

After testing each ordered pair in the inequality y - 2x <= -3, it is found that option D (1, -1) is the only pair that makes the inequality true, making it the correct answer.
To determine which ordered pair is a solution to the inequality y − 2x ≤ −3, we need to substitute the x and y values from each pair into the inequality and see if it results in a true statement.

For option A (2, 4): 4 − 2(2) = 4 − 4 = 0. Since 0 is not less than or equal to −3, this option is not a solution.
For option B (−2, 3): 3 − 2(−2) = 3 − (−4) = 3 + 4 = 7. Since 7 is not less than or equal to −3, this option is not a solution.
For option C (3, 4): 4 − 2(3) = 4 − 6 = −2. Since −2 is less than or equal to −3, this option is not a solution.
For option D (1, −1): −1 − 2(1) = −1 − 2 = −3. Since −3 is equal to −3, this option is a solution.

Thus, the correct ordered pair that satisfies the inequality is option D (1, −1).

Answered by LevonHelm | 2024-06-24

The ordered pair that satisfies the inequality y − 2 x ≤ − 3 is option D, (1, -1). After checking all the options, this is the only pair that makes the inequality true. Therefore, the answer is (1, -1).
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Answered by Anonymous | 2025-04-14