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总述:本次共解1题。其中
☆不等式1题
〖 1/1不等式〗
作业:求不等式 2 ≤4.5*(x/(x+5)) ≤3 的解集.
题型:不等式
解:
该不等式可以化为2个不等式:
2 ≤4.5 * ( x / ( x + 5 ) ) (1)
4.5 * ( x / ( x + 5 ) ) ≤3 (2)
由除数的定义域得
x + 5 ≠ 0 (3 )
由不等式(1)得:
x ≤ -5 或 x ≥ 4
由不等式(2)得:
-5 ≤ x ≤ 10
由不等式(3)得:
x < -5 或 x > -5
由不等式(1)和(2)得
-5 ≤ x ≤ -5 或 4 ≤ x ≤ 10 (4)
由不等式(3)和(4)得
4 ≤ x ≤ 10 (5)
最终答案为:
4 ≤ x ≤ 10
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