Solve the inequality |x - 2sqrt(2)| > |x - 4sqrt(2)|.

This problem can be solved by squaring both sides of the inequality, as this removes the modulus from the problem. Modulus or | | means that a term can take positive and negative values, which could also be described as, for example |x| = +- x. Since squaring removes the negative sign, the modulus is also removed. After this the brackets can be expanded on both sides of the inequality and the inequality can be rearranged to give the solution.

JA

Related Maths A Level answers

All answers ▸

Circle C has equation x^2 + y^2 - 6x + 4y = 12, what is the radius and centre of the circle


A mass of 3kg rests on a rough plane inclined at 60 degrees to the horizontal. The coefficient of friction is 1/5. Find the force P acting parallel to the plane applied to the mass, in order to just prevent motion down the plane.


Solve the equation |3x +4a| = 5a where a is a positive constant.


A curve has the equation 6x^(3/2) + 5y^2 = 2 (a) By differentiating implicitly, find dy/dx in terms of x and y. (b) Hence, find the gradient of the curve at the point (4, 3).