希望杯英文数学题the number of integer solutions for the system of inequalities x-2a≥0 3-2x>-1 about x is just 6 ,then the range of value for real number a is( )

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希望杯英文数学题the number of integer solutions for the system of inequalities x-2a≥0 3-2x>-1 about x is just 6 ,then the range of value for real number a is( )
希望杯英文数学题
the number of integer solutions for the system of inequalities x-2a≥0 3-2x>-1 about x is just 6 ,then the range of value for real number a is( )

希望杯英文数学题the number of integer solutions for the system of inequalities x-2a≥0 3-2x>-1 about x is just 6 ,then the range of value for real number a is( )
题目错了吧
题目讲的是关于x的不等式x-2a≥0 3-2x>-1 的整数解只有6,问实数a的取值范围.但是后面那个不等式 3-2x>-1解出来时x<2啊

x≥2a且x<2,x的整数解有6个,
那么x的范围是[1,0,-1,-2,-3,-4],
那么2a=-4,所以a=-2.

题目错

题目:关于x的不等式组x-2a≥0 3-2x>-1 的整数解有6个,求实数a的取值范围。
x≥2a且x<2,6整数解为1、0、-1、-2、-3、-4
所以-5<2a≤-4 得出实数a的取值范围为(-2.5,-2]

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