Solve the following inequality: x^2 + x -12<0

Firstly we have to factorize the quadratic. We do this by finding two numbers that multiply to -12 and add to 1.Looking at the factors of 12 we can see that x2+x-12= (x-3)(x+4)because -3 x 4 = 12 and 4-3=1. Now we can draw a graph to help us solve this inequality. We know the graph cut the x-axis at 3 and -4 because that is when the brackets equal 0. Finally we can shade the section of the graph where y<0 and this will help us write our inequality answer of:-4<x<3

Answered by Joy S. Maths tutor

6932 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Tony buys 12 apples and 7 pears for £10.90. An apple costs 20p less than a pear. What would be the cost of 4 apple and 9 pears?


Given the points (6,6) and (10,8) calculate the gradient of the line passing through them and the point at which it intersects the y-axis?


The ratio 2 centimetres to 6 metres can be written in the form 1 : n. Find the value of n.


Expand and simplify fully 4(x - 2) - 2(3 - 5x)


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