(-4)/(x-5) ≤ 2/(x+3)
I've been trying to solve it but I get no solution...? I don't think that's right.
How do you solve an inequality with fractions?
2009-02-08 5:30 am
回答 (4)
2009-02-08 5:41 am
✔ 最佳答案
....-4............2---------- ≤ ----------
.,x-5..........x+3
-4(x+3)≤ 2(x-5) cross multiply
-4x-12≤2x-10
-4x-2x≤-10+12
-6x≤2
x≤ -2/6
-3<x≤-1/3 or x>5 answer//
2009-02-08 2:42 pm
-4/(x - 5) ⤠2/(x + 3)
-4 ⤠2(x - 5)/(x + 3)
-4(x + 3) ⤠2*x - 2*5
-4x - 12 ⤠2x - 10
-4x - 2x ⤠12 - 10
-6x ⤠2
x ⥠2/(-6)
x ⥠-1/3
-4 ⤠2(x - 5)/(x + 3)
-4(x + 3) ⤠2*x - 2*5
-4x - 12 ⤠2x - 10
-4x - 2x ⤠12 - 10
-6x ⤠2
x ⥠2/(-6)
x ⥠-1/3
2009-02-08 2:02 pm
-4/x-5<=2/x+3
therefore,-4x-12<=2x-10
therefore,-4x-2x=-10+12
therefore,-6x<=2
therefore,x<=2/-6
therefore,x<=-1/3
X<=-1/3.thats the correct answer
therefore,-4x-12<=2x-10
therefore,-4x-2x=-10+12
therefore,-6x<=2
therefore,x<=2/-6
therefore,x<=-1/3
X<=-1/3.thats the correct answer
2009-02-08 1:43 pm
(-4)/(x-5) ⤠2/(x+3)
Crossing
(-4)(x+3) ⤠2(x-5)
-4x - 12 ⤠2x- 15
-4x - 2x ⤠- 15 + 12
-6x ⤠-3
x >= 3/6
x >= 0,5
Crossing
(-4)(x+3) ⤠2(x-5)
-4x - 12 ⤠2x- 15
-4x - 2x ⤠- 15 + 12
-6x ⤠-3
x >= 3/6
x >= 0,5
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