Solve the following inequality: 2x^2 < x+3

2x2 < x+3, 2x2- x - 3 < 0, (2x - 3) (x + 1) < 0, Positive quadratic. Roots: x = -1 and x = 3/2, Therefore, x takes values greater than -1 and less than 3/2.

OM

Related Further Mathematics A Level answers

All answers ▸

Prove by induction that n^3+5n is divisible by 3 for every natural number.


explain the eigenvalue problem


Use induction to prove that for all positive integers n, f(n)=2^(3n+1)+3x5^(2n+1) is divisible by 17.


A child weighing 50kg is pushed down a 2m long slide (u=0.1), angled at 45 degrees from the horizontal, at 5m/s. At what speed does the child reach the bottom of the slide?