Solve 5x - 2 > 3x + 11

When solving inequalities the first step is to put the unknown, in this case x, on the same side of the inequality sign. Remember when you move values to the other side of a sign they change their charge as it were and become negative if positive and positive if they were negative so here, if we move 3x to the other side, we get 5x - 3x - 2 > 11. Now, we can put all the numbers on one side, changing the 'charge' again so we get 5x - 3x > 11 +2. This can now be simplified to 2x > 13. To now solve this equation to find x, we can divide x by 2 but whatever you do on one side of the sign, you must do to the other side as well so if we get 2x/2 > 13/2 and your final answer should therefore be x > 13/2 where 13/2 = 6.5 so x > 6.5.

SR
Answered by Sarina R. Maths tutor

5986 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A straight line L1 has equation y = 2x + 4. L2 is parallel to L1 and passes through the point (3,13). What is the equation of L2?


Write x^2-4x+9 in the form (x-p)^2+q, where p and q are integers.


The normal price of the pair of shoes is £28. In a sale the price is reduced by 35%. What is the new price of the shoes?


Factorise 4x + 52


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:

© 2026 by IXL Learning