Finding two points in a set where the line segment between them exits

[reefster98]

I have two a convex set:

{(x₁, x₂): 1≤ ∣x1∣ ≤2, ∣x2−3∣ ≤ 2}

I have to find two points in the set for which the line segment joining the points goes outside the set. I have graphed the function and found my convex set. My question is, how do I find these two points? I have found various points in which the answer is still incorrect.

Please help me. Thank you in advanced.

 

[Opalg]

I have two a convex set:

{(x₁, x₂): 1≤ ∣x1∣ ≤2, ∣x2−3∣ ≤ 2}

I have to find two points in the set for which the line segment joining the points goes outside the set. I have graphed the function and found my convex set. My question is, how do I find these two points? I have found various points in which the answer is still incorrect.

Please help me. Thank you in advanced.

Is that set convex? Before you graph it, you need to solve those inequalities.

 

[reefster98]

Thank you, I got the answer to that question.