Ask Uncle Colin is a chance to ask your burning, possibly embarrassing, maths questions — and to show off your skills at coming up with clever acronyms. Send your questions to colin@flyingcoloursmaths.co.uk and Uncle Colin will do what he can.
Dear Uncle Colin,
I have to solve the inequality $x^2 – \left|5x-3\right| \lt 2+x$. I rearranged to make it $x^2 – x – 2 \lt \left|5x-3\right|$ , but the final answer is eluding me.
— Put Right Inequality Muddle
Hello, PRIM!
You’re off to a good start; the next thing I would do would be to sketch the two curves. Here’s Desmos’s version:
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