Question 1
What are all values of \(x\) that satisfy \(\dfrac{2x - 1}{3} \geq \dfrac{x + 4}{2}\)?
Hard - Quiz 1
Handle fractional coefficients, count integer solutions, and optimize within layered constraints that mirror the toughest SAT inequality problems.
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A farmer has at most 60 acres to plant with corn and wheat. The number of acres of corn must be at least twice the number of acres of wheat. What is the maximum number of acres the farmer can plant with wheat?
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How many integers satisfy the inequality \(-7 < 3x + 2 \leq 17\)?
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Which ordered pair satisfies both inequalities below?
\[\begin{aligned} y &\leq -2x + 8 \\ y &> x - 1 \end{aligned}\]
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A small business sells handmade candles for $18 each. The fixed monthly costs are $750, and each candle costs $6 to produce. How many candles must be sold in a month for the profit to exceed $300?