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# Linear Inequalities

When is 2x greater than x? Compare algebraic expressions with linear inequalities.

What are the relative weights of these shapes?

If \( -2 < x < 2 \) and \( -5 < y < 5 \), what is the range of all possible values of \( y - x \)?

\[\large \color{blue}{\large{A=\frac{15^{16} +1}{15^{17} +1}} \quad {\color{black}{\text{or}}} \quad \color{red}{B=\frac{15^{15} +1}{15^{16} +1}}} \]

Which is larger?

Amy and Brian go to a shop to buy a banana. However, Amy is 2 pennies short, and Brian is 24 pennies short. Even if they combine their money, they still can't afford the banana!

How many pennies does the banana cost?

(You should assume that Amy's money, Brian's money, and the cost of the banana are all positive integer amounts of pennies.)

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