Solve the Inequality X^2 - 2X - 8 < 0

First we need to solve the Inequality, looking at what two numbers add to give -2 and multiply to give -8 we find these to be -4 and +2. So we can now say that (X-4)(X+2)<0. Then I like to draw a quick diagram sketch to help visualise the problem so draw an x^2 sketch with roots at -2 and +4. Found by setting each bracket equal to 0. Then look at where this curve is less than 0 to give us an answer of -2<X<4. I would then recommend plugging in the numbers -3, 1 and 5 as a quick check.

Answered by Liam C. Maths tutor

5771 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Expand and simplify (3x+2) (x-5)


GCSE 2011: Solve the simultaneous equations: y^2 = 2x + 29 and y = x - 3


Solve for x: 4 x + 1 = 2 x + 12


Estimate the answer to: (4.28 x sqrt(99))/7.83


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