inequalities?

2016-02-14 12:47 pm
find all values of x that satisfy the following
compound inequalities.

1) 2/3(2-a)>(4+a)/2 or( 1-2a)/4 > 2/3(3-a)

2) 4/3(2a+3)>12-4a/3 or a/5-1/2 ≦(5-3a)/10

回答 (1)

2016-02-16 10:16 am
1) 2/3(2-a)>(4+a)/2 or( 1-2a)/4 > 2/3(3-a) 2) 4/3(2a+3)>12-4a/3 or a/5-1/2 ≦(5-3a)/10

1) 8-4a>12+3a or 3-6a>24-8a
7a<-4 or 2a>21
a<-4/7 or a >21/2

2) 8a + 12 > 36 - 4a or 2a -5≦5-3a
12a > 24 or 5a ≦ 10
a > 2 or a≦2
So all real values of a
請確定你打的次序和所有符號沒打漏或打錯,不然錯了別怪我^^


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