Jia solves $3x

Question

Jia solves $3x<10$. She rounds the upper boundary to one decimal place and writes $x<3.3$. Write the exact solution.[1] Determine whether $x=3.32$ satisfies the original inequality. Use this result to explain why Jia’s answer is not equivalent to the original inequality.[2]

Accepted Answer

(a) $x<\dfrac{10}{3}$ (b) Yes; $9.96<10$, but Jia’s inequality excludes $3.32$.

Keeping inequality bounds exact

Keeping inequality bounds exact

Solution:

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