Solve each of these inequalities. Sketch the curve for each, showing the interval that satisfies each inequality.

a) x² – 2x > 35

b) x² + 6 ≤ 5x

c) x² ≤ x + 20

d) x(x + 3) ≥ 10

e) x² < 9x + 10

f) x² – 4(x + 6) > 21

g) 24 > 11x – x²

h) 7 + 2(4x² – 15x) ≤ 0

i) x² +12/2 ≥ 4x

j) (x + 5)² > 1