solve (6/(x-4))+2>1/3?

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solve (6/(x-4))+2>1/3?

A. x>4
B. 2/5 C. x<2/5, x>4
D. x>2/5

2007-06-21 08:01:07 · 3 answers · asked by joe l 1 in Science & Mathematics ➔ Mathematics

3 answers

(6/(x-4))+2>1/3
Multiply by 3:
18 / (x - 4) + 6 > 1
Subtract 6:
18 / (x - 4) > -5
Multiply by x - 4.

If x > 4 then:
18 > -5(x - 4)
18 > -5x + 20
-5x < -2
x > 2/5.
x > 4 prevails.

If x < 4 then:
18 < -5(x - 4)
x - 4 < -18 / 5
x < 4 - 18/5
x < 2/5
x < 2/5 prevails.

Answer (C).

2007-06-21 08:55:36 · answer #1 · answered by Anonymous · 0⤊ 0⤋

18 + 6.(x - 4) > (x - 4)
18 + 6x - 24 > x - 4
5x > 2
x > 2/5

OPTION D

2007-06-24 07:31:23 · answer #2 · answered by Como 7 · 0⤊ 0⤋

2007-06-21 15:10:50 · answer #3 · answered by psully45 2 · 0⤊ 0⤋