[Solution]Consider the following subsets of R2: C1 ={(x,y)∈R2 |x≥0}

Consider the following subsets of R2:C1 ={(x,y)∈R2 |x≥0}C2 ={(x,y)∈R2 |−x+y≤1}Draw a sketch of C1 ∩C2 and C1 ∪C2; state whether each set is convex or…

Consider the following subsets of R2:C1 ={(x,y)∈R2 |x≥0}C2 ={(x,y)∈R2 |−x+y≤1}Draw a sketch of C1 ∩C2 and C1 ∪C2; state whether each set is convex or not. If the set is not convex, give an example of a line segment for which the definition of convexity breaks down.

The post Consider the following subsets of R2: C1 ={(x,y)∈R2 |x≥0}

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