Solve the inequality 3x+7>x-3

To solve this inequality, we need to take steps to collect like terms on each side of the inequality. To start with, we can try getting all the numbers on one side of the inequality - on the left hand side, we have a +7, so we should -7 from both sides:3x+7-7>x-3-7, so 3x>x-10Now we can do the same thing with the x's, so that all the x's are on one side - on the right hand side we have one x, so we can minus one x from both sides:3x-x>x-x-10, so 2x>-10Now we need to get rid of the number multiplying the x. It's multiplied by 2, so we should divide both sides by 2:2x(/2)>-10(/2), so x>-5.

NB
Answered by Nick B. Maths tutor

3344 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations 5x + 2y = 4 and x - y - 5 =0


Solve the simultaneous equations y=2x and y=x+3


How to factorise a simple linear equation such as '9Y + 6'


f(x)= 5 - x and g(x)= 3x + 7. Simplify f(2x) + g(x-1) (2018 past paper question)


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