For each input requirement set determine if it is regular, monotonic, and/or convex. Assume that the parameters a and b and the output levels are strictly positive.

(a) V(g) = {z1, 72: 07) 2 logy, br > logy}

(b) V(v) = {F1, zy: or1 + bx2 ≥ y, z1 > 0}

(c) V(v) = {x1, 22: a11 + V/F1Ti + bæ2 2 v)

(d) V(y) = {21, 22: 071 + bra 2 3}

(e) V(y) = {11,72:1(1 - 3) 2 0, 22(1 -9) 2 5}

(f) V(y) = (z1, 12: az1 - Vx172 + bz2 2 0}

(g) V(y) = (=1, 11:21 + min(21, 22) > 3y}