Question

I need help on this asap!!!!

Alan makes the statement about the intersection point of a system of inequalities. Explain why Alan’s statement is incorrect.

The intersection point is always a solution to a system of
inequalities because that is where the two lines meet

Answer 1

Answer: No, Alan's statement is incorrect!

Explanation:

The intersection point of a system of inequalities is not always a solution. It only becomes a solution if the two lines meet at the same point and the lines are not parallel. If the two lines are parallel, then they will not intersect and thus the intersection point will not be a solution.

Answer 2

Explanation:

if there is an intersection point (the lines are not parallel), there is still the question, if the points on the line are included in the solution or not.

if not, then the intersection point is not part of the solution either.

this is controlled by the absence of presence of the "or equal" part of the inequality.

>= greater than or equal

<= less than or equal

if the inequality is only

> greater than

< less than

the lines are just delimiters, but their points are not part of the solution. and therefore not the intersection point either.