Linear Inequalities in Two Un.

2009-05-29 1:07 am
1. In the figure, if ∠XYZ is an obtuse angle less than 162゚, find the range of possible measurements (in degree) of x.

Ans.: 20゚< x < 32゚

2. David has $2400. He spends the money to buy two jeans at $375 each and some shirts at $270 each. Overall if David spends more on buying shirts than on buying jeans, write down the possible number of shirts that he buys.

Ans.: 3, 4, 5, 6

回答 (2)

2009-05-29 5:47 am
✔ 最佳答案
Since you have not provided the figure, I cannot answer question 1.
For question 2,

Let number of shirts David buy be x
As he only has 2400 for him to spend, the total expenditure on shirts and jeans cannot exceed 2400,

375(2)+270x<=2400
270x<=1650
x<=6.11

and as provided, he spends more on buying shirts than on buying jeans,

270x> 375(2)
270x>750
x>2.78

In conclusion, x should be within 2.78 and 6.11
The possible value of x is then 3, 4, 5 and 6
參考: ME
2009-05-29 1:34 am
Can you provide the figures?


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