Solving inequalities seems to be a favourite maths GCSE question …
although it’s fairly useless in real life. Even though we do tend to think in inequalities (see top tips) …. I haven’t really come across a great application. It’s good practice for linear equation solving – and can look interesting on a whiteboard – but that’s about it. Sorry. Unless you know any different? Please post a comment below!
These videos tend to favour algebraic solutions, although here’s posts on using a numberline (around grade 4), or graphing (level 6) and a quick 3 minute maths on solving as linear equations.
Top Tips!
● Inequalities can be treated in the same way as linear equations
● You’re really just mathematically showing everyday speech phrases like “at least” or “at most” or “no more than” or “no less than” can all be shown as an inequality
● It’s pretty unlikely that you’ll write inequalities in real life … but you’ll certainly use them all the time!
● The most common use is making sure you’ve got enough money. All your payments must be less than or equal to your income.
If you’d like to ask for any more detail, or you’re not sure about anything, please do ask a question in the comments section.
All best with your studies
Watch on YouTube
Solving inequalities – GCSE maths level 5 question
Solving inequalities with fractions – GCSE maths level 7
Solving inequalities – GCSE maths level 4 question
Solving inequalities on a numberline – values of x – GCSE maths level 4
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Solving inequalities is indeed a cornerstone of algebraic proficiency, offering essential skills applicable across various mathematical contexts, from budgeting to problem-solving. Mastering these concepts enhances critical thinking and problem-solving abilities crucial for academic and practical scenarios alike.