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不等式   题数:51
【OG20-P147-8题】(12 -13 )+(13 -14 )+(14 -15 )+(15 -16 )=
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 ?
【OG20-P146-3题】During a trip that they took together ,Carmen ,Juan ,Maria ,and Rafael drove an average (arithmetic mean )of 80 miles each. Carmen drove 72 miles ,Juan drove 78 miles ,and Maria drove 83 miles .How may miles did Rafael drive ?
【OG20-P181-228题】How many of the integers that satisfy the inequality (x+2)(x+3)x−2 ≥0 are less than 5?
All points (x, y) that lie below the line l, shown above, satisfy which of the following inequalities?
Greg assembles units of a certain product at a factory . Each day he is paid $2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day . If Greg assembled at least 30 units on each of two days and was paid a total of $180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days ?
For the inequalities above, what is the maximum possible value of P + Q + R + S ?
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
If x is positive, which of the following could be the correct ordering of 1/x, 2x, and x^2 ?
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