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Solve the inequality in terms of intevals: 4x< 2x + 1 ≤ 3x + 2

2006-06-27 11:21:50 · 8 answers · asked by stillborndesires01 1 in Science & Mathematics Mathematics

Show work, please.

2006-06-27 11:22:10 · update #1

8 answers

2x<1 , x<0.5
-1
-1< x<0.5

2006-06-27 11:30:26 · answer #1 · answered by prune 3 · 0 0

-1≤ x < 1/2

2006-06-27 13:47:03 · answer #2 · answered by Don Pepe 1 · 0 0

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)

2006-06-27 13:45:03 · answer #3 · answered by Sherman81 6 · 0 0

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= 1-2= -1=
so combining both parts we find that x lies in the band

-1=

2006-06-27 11:33:09 · answer #4 · answered by Aslan 6 · 0 0

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

2006-06-27 11:32:54 · answer #5 · answered by Vivek 4 · 0 0

2x-3x<2-1
-x<-1
X > 1

2006-06-27 11:26:29 · answer #6 · answered by Anonymous · 0 0

I cannot believe you guys are doing his homework..... sheesh

2006-06-27 11:39:20 · answer #7 · answered by retard 2 · 0 0

x=>-1

2016-03-27 06:15:23 · answer #8 · answered by Anonymous · 0 0

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