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不等式   题数:51
Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and is parallel to the x-axis. The x- and y-coordinates of P, Q, and R are to be integers that satisfy the inequalities-4 ≤ x≤ 5and 6≤y≤16. How many different triangles with these properties could be constructed?
240, 120, 60, 30, . . .In the sequence above, each term after the first is 1/2 of the preceding term. What is the least term of the sequence that is greater than 1 ?
All points (x, y) that lie below the line l, shown above, satisfy which of the following inequalities?
For the inequalities above, what is the maximum possible value of P + Q + R + S ?
【OG20-P181-228题】How many of the integers that satisfy the inequality (x+2)(x+3)x−2 ≥0 are less than 5?
If x is positive, which of the following could be the correct ordering of 1/x, 2x, and x^2 ?
A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of $90 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus the manufacturer's cost to produce) on the sales of these units will be at least $42,000 ?
In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket in c hours, and the hot-water leak alone would fill the same bucket in h hours, where c < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it took t hours to fill the bucket, which of the following must be true?I 0<t<hII c<t<hIII c/2<t<h/2
At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:80. At this university, what is the maximum number of students possible in a course that has 5 teaching assistants?
【OG20-P147-8题】(12 -13 )+(13 -14 )+(14 -15 )+(15 -16 )=
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