Problemas
Algebra I Unit 4C CBA 2024-2025 [15 Items] 12. Which ordered pair is in the solution set of ygeqslant (1)/(3)x+4
Roztwór
Marcelo
maestro · Tutor durante 5 años
4.4
(398 Votos)
Respuesta
To determine which ordered pair is in the solution set of the inequality
, we need to check if the y-coordinate of each ordered pair is greater than or equal to the value of
for the corresponding x-coordinate.Let's consider the following ordered pairs:A. (0, 5)B. (3, 6)C. (6, 3)D. (9, 2)We will substitute the x and y values of each ordered pair into the inequality
and check if the inequality holds true.A. For the ordered pair (0, 5):\( 5 \geq \frac{1}{3}(0) + 4 \)
This is true, so the ordered pair (0, 5) is in the solution set.B. For the ordered pair (3, 6):\( 6 \geq \frac{1}{3}(3) + 4 \)
This is true, so the ordered pair (3, 6) is in the solution set.C. For the ordered pair (6, 3):\( 3 \geq \frac{1}{3}(6) + 4 \)
This is false, so the ordered pair (6, 3) is not in the solution set.D. For the ordered pair (9, 2):\( 2 \geq \frac{1}{3}(9) + 4 \)
This is false, so the ordered pair (9, 2) is not in the solution set.Therefore, the ordered pairs in the solution set of the inequality
are (0, 5) and (3, 6).