How to solve the inequality 4(x+3) < 60?

As we are working with an inequality we have to pay attention every time to the symbol, in this case less <, that rules the inequality. The first step to solve it, it is the expansion of the LHS, so we have 4(x +3 ) = 4x +12 < 60. Now as our aim is to obtain the value of x, we want to remove the 12 in the LHS. To do that, we have to be coherent and therefore subtract 12 in both sides of the inequality so: 4x +12 -12 < 60 -12. Finally this expression can be written as 4x < 48, where diving by 4 in both sides we simply obtain x <12 as our final result.

AP
Answered by Ana P. Maths tutor

2797 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A curve has the equation y=x^2+4x+4 and a line has the equation y=2x+3. Show the line and curve have only one point of intersection and find its coordinate..


How to solve the following for x: (2x+3)/(x-4) - (2x-8)(2x+1) = 1


(2x + 3)/(x-4) - (2x - 8)/(2x + 1) = 1


Solve the linear equation 12x - 4 = 3x + 2


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences