Exercise algebra.inequalities.quadratic

Description
solve a quadratic inequation

Derivation

x^2-9/2*x < 7-3*x

⇒ algebra.inequalities.to-equation, clipboard=[ineq == (x^2-9/2*x < 7-3*x)]

x^2-9/2*x == 7-3*x

⇒ algebra.equations.quadratic.move-left

x^2-3/2*x-7 == 0

⇒ algebra.equations.quadratic.simpler-poly

2*x^2-3*x-14 == 0

⇒ algebra.equations.quadratic.abc, clipboard=[D == 121, a == 2, b == -3, c == -14, ineq == (x^2-9/2*x < 7-3*x)]

x == 7/2 or x == -2

⇒ algebra.inequalities.give-solution, clipboard=[D == 121, a == 2, b == -3, c == -14]

-2 < x < 7/2