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

6392 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve these simultaneous equations; 2y + x = 8, 4 + 4y = 8x


Work out an estimate for the value of (8.1 x 198)/0.0491


solve this simultaneous equation: 4x+ y = 12 , 2x+ y = 8


Matt has 3 piles of coins, A , B and C. Altogether there was 72p. Pile B had twice as much as pile A. Pile C had three times as much as pile B. How much money was in Pile C?


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 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences