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

8005 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations x^2+ y^2 = 29 and y–x = 3


How do I know the best way to solve a quadratic equation?


Solve by factorisation. 3x^2 + 11x – 20 = 0


Factorise the following equation: y = 2x^2 + 4x - 6


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