Determine the relationship between the point (1, –5) and the given system of inequalities.
y ≤ 3x + 2
y > –2x – 3
explain your answer both algebraically and graphically.

sample response: algebraically, the point (1, -5) satisfies the first inequality, but it does not satisfy the second inequality because -5 is not greater than -5. graphically, the point (1, -5) lies in the shaded area of the first inequality but lies on the dashed line of the second inequality, which is not inclusive. therefore (1, -5) is not a solution to the given system of inequalities.

Y < = 3x + 2...subbing in (1,-5)
-5 < = 3(1) + 2
-5 < = 3 + 2
-5 < = 5 (true)

y > -2x - 3...subbing in (1,-5)
-5 > -2(1) - 3
-5 > -2 - 3
-5 > -5 (false)

response : Algebraically, the point (1,-5) satisfies the first inequality, but does not satisfy the second inequality because -5 is not greater then -5.Graphically, the point (1,-5) lies in the shaded area of the first inequality but lies on the dashed line of the second inequality, which is not inclusive. Therefore, (1,5) is not a solution to the given system of inequalities.

lol...ur sample response is the correct answer for this inequality...exactly

Algebraically, the point (1, -5) satisfies the first inequality, but it does not satisfy the second inequality because -5 is not greater than -5. Graphically, the point (1, -5) lies in the shaded area of the first inequality but lies on the dashed line of the second inequality, which is not inclusive. Therefore (1, -5) is not a solution to the given system of inequalities.