Which ordered pairs are solutions to the inequality –3x + y ≥ 7?
choose all answers that are correct.
(–2, –3)
(3, 18)
(0, 7)
(1, 9)
(–1, 8)
Which ordered pairs are solutions to the inequality –3x + y ≥ 7?
choose all answers that are correct.
(–2, –3)
(3, 18)
(0, 7)
(1, 9)
(–1, 8)
Q1. The answers are (–1, 8), (0, 7), (3, 18)
–3x + y ≥ 7
Let's go through all choices:
(–2, –3)
(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7 INCORRECT
(–1, 8)
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7 CORRECT
(0, 7)
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7 CORRECT
(1, 9)
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7 INCORRECT
(3, 18)
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7 CORRECT
Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
y ≥ 0
x - small boxes
y - large boxes
He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each on a shelf that holds up to 80 lb:
5x + 12y ≤ 80
Jude needs at least 4 small boxes on the shelf: x ≥ 4
Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16
x ≥ 4 can include x ≤ 16
So, y can be 0: y ≥ 0