Find the set of values for this inequalities - AS maths!?

try and find it to become > 0, so rearrange

(2x+1)(x-2) > 2(x-5)

2x^2 -4x + x -2 > 2x - 10

2x^2 -3x -2 > 2x -10

2x^2 -x - 2 > -10

2x^2 -x +8 > 0

now factorise!

ok. Algebra. recommendations-blowing. enable's get began! 3 - X < 2 - 4X Simplify the inequality as you may if there grow to be an equals sign (=) 3 < 2 - 3X Simplify further a million < - 3X Simplify further -a million/3 < X X < -a million/3 frequently written like this _______________ X^2 - X - 6 < 0 this could be a quadratic. I shall anticipate you may factorize a sort of. (X - 3) (X + 2) < 0 X - 3 <0 or X + 2 < 0 _______________________________________... For those 2 brackets to multiply to make a damaging huge form, considered one of them ought to be damaging. to illustrate 6 * -2 = -12 _______________________________________... So, X is decrease than 3 or decrease than -2 (X > 3 or X > -2) the two could be chuffed with the help of asserting that X > -2 So -2 < X < -a million/3 desire this enables!