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 ▸

Given y=arctan(3e^2x). Show dy/dx= 3/(5cosh(2x) + 4sinh(2x))


Use de Moivre's theorem to calculate an expression for sin(5x) in terms of sin(x) only.


Find all square roots of the number 3 + 4i.


Find the GS to the following 2nd ODE: d^2y/dx^2 + 3(dy/dx) + 2 = 0