Which set of points contains the solutions to the inequality y ≥ 1⁄4x + 5?
1 answer:
Answer:
B. {(4,6), (8,8), (–3,6)}
Step-by-step explanation:
You can graph the equation and plot the points, or you can try the points algebraically. For the latter, it is convenient to rearrange the inequality a bit.
y ≥ 1/4x + 5 . . . . . given
4y ≥ x + 20 . . . . . multiply by 4
You can use this form, or you can subtract x to get ...
4y -x ≥ 20
Trying the offered points, we want 4y-x to be at least 20. We get ...
A: 4(-17) -(-3) = -65 . . . . less than 20
B: 4(6)-4 = 20 . . . a solution
4(8) -8 = 24 . . . a solution
4(6)-(-3) = 27 . . . a solution . . . . set B contains solutions to the inequality
C: 4(4)+3 = 19 . . . . less than 20
D: 4(-1)-(-2) = -2 . . . . less than 20
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