What is the range of solutions for the inequality 2(3x+1) > 3-4x?

When it comes to answering questions about inequalities, it is important to remember the signs and what they represent. In this instance, we need to find a range of solutions where 2(3x+1) is greater than 3-4x. 
To solve this inequality, we need to make x the subject of the inequality. First, we need to expand 2(3x+1) to get 6x+2. Now we have the inequality 6x+2>3-4x. Next we rearrange to make x the subject. By adding 4x to both sides and subtracting 2 from both sides, we get the inequality 10x>1. Finally, we divide both sides by 10 to get x by itself. The simplified inequality is x>1/10. Therefore the answer to the question is the range of solutions for the inequality 2(3x+1)>3-4x is x is greater than 1/10. 

SK
Answered by Samradnyee K. Further Mathematics tutor

3713 Views

See similar Further Mathematics GCSE tutors

Related Further Mathematics GCSE answers

All answers ▸

Find and describe the stationary points of the curve y = x^2 + 2x - 8


A particle is moving in a straight line from A to B with constant acceleration 4m/s^2. The velocity of the particle at A is 3m/s in the direction AB. The velocity of the particle at B is 18m/s in the same direction/ Find the distance from A to B.


If y=(x^2)*(x-10), work out dy/dx


This is a question from a past paper: https://prnt.sc/r6jnxc


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences