Solve the inequality |2x + 1| < 3|x − 2|.
(2x+1)2 < 9(x-2)24x2+4x+1 < 9(x2-4x+4)4x2+4x+1 < 9x2-36x+360 < 5x2-40x+35Apply quadratic equation solving formula (40+30)/10=7 and (40-30)/10=1hence x<1 and x>7
AT
Related Maths A Level answers
All answers ▸Find the tangent to the curve y=(3/4)x^2 -4x^(1/2) +7 at x=4, expressing it in the form ax+by+c=0.
Prove the identity: sin^2(x)+cos^2(x) = 1
Differentiate x^3 − 3x^2 − 9x. Hence find the x-coordinates of the stationary points on the curve y = x^3 − 3x^2 − 9x
Find the gradient of the curve y=sin(x^2) + e^(x) at the point x= sqrt(pi)