The point (2,-2) does not satisfy the inequality 5x + y < 7 as substitution of this point into the inequality yields 8 < 7, which is not true.
The question is asking to determine if the given point (2,-2) satisfies the inequality 5x + y < 7. To solve the inequality with the given point, you substitute the x and y values into the inequality like this:
5(2) + (-2) < 7
10 - 2 < 7
8 < 7
This is not true since 8 is not less than 7. Therefore, the point (2,-2) does not satisfy the inequality 5x + y < 7. Whenever you are asked to test if a point lies in the solution set of an inequality, similar steps should be taken to verify the conditions.
The probable question may be:
Given the inequality 5x + y < 7, determine whether the point (2, -2) satisfies the inequality. Show your step-by-step process and explain why or why not the point is a solution to the inequality.