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

7453 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

how do you convert repeating decimals into a fraction?


Calculate the area of a circle with a diameter of 20mm


A cylinder has dimensions: diameter = 4x+2 and height = 4. Work out the volume of this cylinder. Give your answer in terms of x


Find the possible values of x for x^2 = 36-5x.


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