Question 1
What is the solution to the compound inequality \(-3 \leq 2x + 1 < 9\)?
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A catering company charges $15 per guest. A client needs to invite at least 20 guests but has a total budget of no more than $600. What is the maximum number of guests the client can invite?
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Which ordered pair satisfies both inequalities below?
\[\begin{aligned} x + y &\leq 10 \\ y &\geq 2 \end{aligned}\]
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What are all values of \(x\) that satisfy the inequality \(5x - 3 > 2(x + 6)\)?
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A store orders shirts at $12 each and hats at $8 each. The total budget is $480, and the store must order at least 10 hats. What is the maximum number of shirts the store can order?
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