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This problem highlights the importance of variables in algebraic expressions, and offers opportunities to explore straight line graphs and simple inequalities. By switching between numerical, algebraic and graphical representations, students can gain insights into the effects of changing a variable. The last part of the problem encourages a playful curiosity where students can experiment with graphing software to try to solve each challenge.
Start the lesson by posing the question:
"Which is bigger, $n+10$, or $2n+3$?"