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solve inequality?
Solve the inequality in terms of intevals: 4x< 2x + 1 ≤ 3x + 2
Show work, please.
8 Answers
- 2 decades ago
-1≤ x < 1/2
Source(s): 4x<2x+1____ x<1/2: 2x+1≤ 3x+2 _______ -1≤ x por lo tanto -1≤ x < 1/2 - Sherman81Lv 62 decades ago
4x < 2x + 1 <= 3x + 2
4x < 2x + 1
2x < 1
x < (1/2)
2x + 1 <= 3x + 2
-x <= 1
x >= -1
-1 <= x < (1/2)
- AslanLv 62 decades ago
subtract 2x from all parts of this inequality to get
2x < 1 =< x +2
Then we can break it down into further parts
2x<1
implies that x<1/2
second part
1=<x+2
1-2=<x
-1=<x
so combining both parts we find that x lies in the band
-1=<x<1/2
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- VivekLv 42 decades ago
4x< 2x + 1 ≤ 3x + 2
take this 1st: 4x< 2x + 1
or 4x-2x< 1
0r x<1/2
now take anothe one
2x + 1 ≤ 3x + 2
or -x<1
or x>-1
hence -1<x<1/2
- Anonymous2 decades ago
2x-3x<2-1
-x<-1
X > 1
- Anonymous5 years ago
x=>-1