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线性不等式与可行域挑战
In the xy-plane, the point \( (6,\ 7) \) is a solution to which of the following systems of inequalities?
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线性不等式与可行域进阶
A plant nursery classifies a perennial flower species as tall if its typical height when fully grown is more than 100 centimeters. Each of the following inequalities represents the possible heights h, in centimeters, for a specific perennial flower species when fully grown. Which inequality represents the possible heights h, in centimeters, for a tall perennial flower species?
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线性不等式与可行域挑战
A baker has a total of 15 cups of flour and enough other ingredients to make banana pancakes and apple pancakes. The baker needs 1.25 cups of flour for a batch of banana pancakes and 0.75 cups of flour for a batch of apple pancakes. If the baker makes 8 batches of banana pancakes, what is the greatest number of whole batches of apple pancakes the baker can make?
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线性不等式与可行域进阶
For a certain classification, the positive mass m, in grams, of an object must be less than 510 grams. Which inequality represents this situation?
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线性不等式与可行域挑战

The shaded region shown represents the solutions to the inequality \( ry<128 \), where r is a constant. What is the value of r?
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线性不等式与可行域进阶
In a set of three consecutive integers, where the integers are ordered from least to greatest, the first integer is represented by x. The sum of 4 and the second integer is less than the product of 17 and the third integer. Which inequality represents this situation?
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线性不等式与可行域挑战

The graphs of \( y=-3x+7 \) and \( y=x-5 \) are shown. Point P (not shown) has coordinates \( (3,−5) \) and lies in the shaded region. The coordinates of P satisfy which of the following inequalities?
I. \( y<−3x+7 \)
II. \( y>x−5 \)
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线性不等式与可行域进阶

The shaded region shown represents the solutions to which inequality?
原库参考解析
线性不等式与可行域进阶
A car travels at a speed of at least 25 miles per hour but no more than 65 miles per hour for a certain part of a trip. Which inequality represents this situation, where x is the speed of the car, in miles per hour, on this part of the trip?
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线性不等式与可行域挑战

The graphs of \( y=-3x+8 \) and \( y=x-4 \) are shown. Point P (not shown) has coordinates \( (3,−3) \) and lies in the shaded region. The coordinates of P satisfy which of the following inequalities?
I. \( y<−3x+8 \)
II.\( y>x−4 \)
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线性不等式与可行域进阶
To win a game show, a contestant needs to score at least 70 total points from two rounds. Correct responses in the first round are worth 3 points each, and correct responses in the second round are worth 9 points each. Which inequality models this situation, where f is the number of correct responses in the first round and s is the number of correct responses in the second round?
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线性不等式与可行域挑战
To win a game show, a contestant needs to score at least 80 total points from two rounds. Correct responses in the first round are worth 4 points each, and correct responses in the second round are worth 5 points each. Which inequality models this situation, where f is the number of correct responses in the first round and s is the number of correct responses in the second round?
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