Answer:
To “satisfy an inequality” means to show that substituting one or more variables into an inequality proves that the statement is true.
1. (5,2) and (-5,-5) or (4,0)
2. (1,10) and (3,3)
3. (1,2) and (0,4) or (2,2)
4. (0,-5) and (-1,-6)
5. (0,6) and (2,2)
Step-by-step explanation:
Substitute the values of x and y from the given ordered pairs to check if the inequality is true.
1. If x = 5 and y = 2
2 < 5+3
2 < 8
The inequality is true.
If x = -5 and y = -5
-5 < -5 + 3
-5 < -2
The inequality is true.
If x = 4 and y = 0
0 < 4 + 3
0 < 7
The inequality is true.
2. If x = 1 and y = 10
3(1) + 10 > 10
3 + 10 > 10
13 > 10
The inequality is true.
If x = 3 and y = 3
3(3) + 3 > 10
9 + 3 > 10
12 > 10
The inequality is true.
3. If x = 1 and y = 2
2(2) + 1 ≥ 5
4 + 1 ≥ 5
5 ≥ 5
The inequality is true.
If x = 0 and y = 4
2(4) + 0 ≥ 5
8 + 0 ≥ 5
8 ≥ 5
The inequality is true.
If x = 2 and y = 2
2(2) + 2 ≥ 5
4 + 2 ≥ 5
6 ≥ 5
The inequality is true.
4. If x = 0 and y = -5
3(0) – 2(-5) ≤ 10
0 + 10 ≤ 10
10 ≤ 10
The inequality is true.
If x = -1 and y = -6
3(-1) – 2(-6) ≤ 10
-3 + 12 ≤ 10
9 ≤ 10
The inequality is true.
5. If x = 0 and y = 6
5(0) + 3(6) > 15
0 + 18 > 15
The inequality is true.
If x = 2 and y = 2
5(2) + 3(2) > 15
10 + 6 > 15
16 > 15
The inequality is true.
#BRAINLYEVERYDAY
