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PLEASE HELP ALGEBRA 1 FINAL HELP PLEASE

Which Of The Following Points Would Be A Solution To This System Of Linear Inequalities?
y≤ -3x-2
y>X-2
A. -4,4
B. 4,4

User Piler
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1 Answer

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To determine which point is a solution to the system of linear inequalities y ≤ -3x - 2 and y > x - 2, we can test each point by substituting the x and y values into both inequalities.
Let's start with point A (-4, 4):

y ≤ -3x - 2
4 ≤ -3(-4) - 2
4 ≤ 10

This is false, so (-4, 4) is not a solution to the first inequality.
y > x - 2
4 > -4 - 2
4 > -6

This is true, so (-4, 4) is a solution to the second inequality.

Since (-4, 4) satisfies only one of the two inequalities, it is not a solution to the system of linear inequalities.
Now let's test point B (4, 4):
y ≤ -3x - 2
4 ≤ -3(4) - 2
4 ≤ -14

This is false, so (4, 4) is not a solution to the first inequality.
y > x - 2
4 > 4 - 2
4 > 2

This is true, so (4, 4) is a solution to the second inequality.

Since (4, 4) satisfies only one of the two inequalities, it is not a solution to the system of linear inequalities.

Therefore, neither point A nor point B is a solution to the system of linear inequalities y ≤ -3x - 2 and y > x - 2.
User Wottle
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