How to solve the inequality 1 - 2(x - 3) > 4x

Firstly you should expand the brackets in this situation in order to collect the like terms, so get all the x's on one side and all the constants on the other side of the inequality. Expanding the bracket you get 1 - 2x + 6 > 4x. Now we try to collect the like terms so firstly I will add 2x to both sides to get 1 + 6 > 4x + 2x. Then we can simplify to get 7 > 6x. Finally to get x on it's own we divide through by 6 to get the final answer of x < 7/6. Note that if the 6 was negative then you would have to flip the sign of the inequality if you divided through by the -6.

FE
Answered by Fred E. Further Mathematics tutor

3645 Views

See similar Further Mathematics GCSE tutors

Related Further Mathematics GCSE answers

All answers ▸

A=(1,a;0,1/2) B=(1,-1;0,2) AB=I, calculate the value of a.


The coefficient of the x^3 term in the expansion of (3x + a)^4 is 216. Find the value of a.


Factorise 6x^2 + 7x + 2


A curve is defined by the equation y = (x + 3)(x – 4). Find the coordinates of the turning point of the curve.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning