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

7569 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I expand (x-2)(3x+3) into a quadratic?


How do I solve the simultaneous equations 3x+2y=17, 4x-y=30?


Find y and x of the to following equations: x +3y = 11 and x + 2y = 9.


Solve the inequality x^2 + 5x -24 ≥ 0.


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