3. Use the definition of convex sets to answer the following: (a) Show that if the sets S and T are convex, then SnT is convex. (b) Show that the intersection of any number of convex sets is convex. (c) A hyperplane in Rd is a set of points of the form {r: ax=b} where a R and b E R. Show that hyperplanes are convex. Hint: If you're having trouble seeing why this is true in general, try the problem with a simple concrete example in 2-dimensions.

1 Find + Ç

Find fcx) -3 (2) 42

find (3)

(-b)2+b

Q4 7.4

12:14 PM Mon Mar 22 @ 74% 2020 Algebra Home Insert Draw View A Text Mode Insert Space + Lasso Select Main Idea: Solving Quadratic Equations not in Standard Form 4) Solve and check. C-8 -5 C >> Topic: Quadratic Equations Main Idea: Solving Quadratic Equations not in Standard Form || 3.