Question

show your work to determine if $(3, 5)$ is a solution for the inequality $y > 2x - 6$. be sure to state if $(3, 5)$ is a solution or not.
answer the question completely. justify how you know whether (3,5) is or is not a solution.
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(3 points)

Explanation:

Step1: Substitute $x=3, y=5$

Substitute into $y > 2x - 6$:
$5 > 2(3) - 6$

Step2: Simplify right-hand side

Calculate $2(3)-6$:
$2(3)-6 = 6 - 6 = 0$

Step3: Compare both sides

Check inequality validity:
$5 > 0$

Answer:

$(3, 5)$ is a solution to the inequality $y > 2x - 6$, since substituting the values results in a true statement $5>0$.