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

8002 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A rectangle has sides of length 4x cm and (x+3)cm and has an area less than 112 cm^2, find the set of values x can take


simplify 4p^3 x 3p^4


Sasha has a bag containing 12 red beads, and 8 blue beads. She draws one bead from the bag at random. What is the probability that it is blue?


What is a vector and how do I calculate the 'modulus' of a vector?


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