Solve 5 < x² + 1 < 10

We can take 1 away from all elements to obtain 4 < x² < 9. Now, it's important to notice that when we square a negative, it gives us a positive, so when we take a square root to get 2 < x < 3 we could also get -2 > x > -3 because there is no way to know if we started with positives or negatives. The final answer is therefore "-2 > x > -3 or 2 < x < 3".

Answered by Mateusz O. Maths tutor

2205 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve 10(x + 2) – (2x – 9) = 30


Harry mixes white paint and blue paint in the ratio 2:5. He makes a total of 21 litres of paint. How much more blue paint does he need to add to the mixture so that the ratio of white paint to blue paint becomes 1:4?


3/(x-1) - 2/(x+1) = 1 Solve to find the values of x.


Simplify: 2x + 6y + 2y - x


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