Let ℓ be a line and let H be one of the half-planes bounded by ℓ. Prove that H ∪ ℓ is a convex set.

2. Let a,, az,., a, be numbers. Show that there is a single number r such that foo: (z-a) +(2 – a,)° +..+ (x – a,) is a minimum and find this number.

Let x be an infinite set equipped with the indiscrete topology T then (X,T) is compact. True or false

Q5. Let A(0,0), B(2,0), C(1,1) be points in the plane R.Then the following is not a convex set: A)The Triangle ABC B)[2,4)x(0) C) [2,4]x(3) D) (2,-)x (,0) DC