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

3733 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What are surds and why are they used?


Solve the simultaneous equations to find x and y: 2x - 2y = 20, x + 4y = 5


When do two simultaneous equations have a solution?


a) You area told that y is proportional to x2 and that when y = 75, x = 5. Find a formula for y in terms of x. y = x b) Find the value of y when x = 3. c) Find the value of x when y = 1200.


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