Solve the inequality 2x - 10 < 6 - 2x

First, we can temporarily make this an equation rather than an inequality to make it easier to solve. We replace the “<” with an equals sign “=”. The inequality now becomes an equality: 2x - 10 = 6 - 2x. Then, we add 10 to both sides and it becomes 2x = 16 - 2x. Next, we add 2x to both sides and we are left with 4x = 16. Finally, we divide both sides by 4 to get x = 4. Don’t forget to then substitute the inequality sign back in to leave us with a final answer of x < 4.

CW
Answered by Charlotte W. Maths tutor

7485 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve simultaneous equations: 3x + y = 12 and 5x + 5y = 30


Solve x^2+6x-7 by completing the square.


Solve (x/4)-(2x/x+2) = 1. Give your solutions to 2 decimal places. You must show your working.


Solve the simultaneous equations y = 5x^2 + 4x - 19 and y = 4x + 1


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