Sherman has 3 cats and 2 dogs. He wants to buy a toy for each of his pets. Sherman has$22 to spend on pet toys. How much can he
1 answer:
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Answer:
Option B) {(1, -1), (-3, -3), (2, 4)}
Step-by-step explanation:
<u><em>The correct inequality is </em></u>
The solution of the inequality is the shaded area above the dashed line
see the attached figure to better understand the problem
we know that
If a ordered pair satisfy the inequality, then the ordered pair must lie in the shaded area of the solution
<u><em>Verify each case</em></u>
case A) {(6, 1), (-1, -3), (4, 4)}
ordered pair (6,1)
For x=6, y=1
substitute in the inequality
---> is not true
therefore
The point not satisfy the inequality
case B) {(1, -1), (-3, -3), (2, 4)}
ordered pair (1,-1)
For x=1, y=-1
substitute in the inequality
---> is true
so
The point satisfy the inequality
ordered pair (-3,3)
For x=-3, y=3
substitute in the inequality
---> is true
so
The point satisfy the inequality
ordered pair (2,4)
For x=2, y=4
substitute in the inequality
---> is true
so
The point satisfy the inequality
therefore
The set contains only points that satisfy the inequality
case C) {(1, -1), (-3, -3), (4, -2)}
ordered pair (4,-2)
For x=4, y=-2
substitute in the inequality
---> is not true
therefore
The point not satisfy the inequality
case D) {(-1, -3), (-3, -3), (2, 4)}
ordered pair (-1,-3)
For x=-1, y=-3
substitute in the inequality
---> is not true
therefore
The point not satisfy the inequality
