how do I solve this problem?
2006-11-23 02:50:40 · 9 answers · asked by Shorty 1 in Science & Mathematics ➔ Mathematics
x - 6 - 3(x - 8) > 0 --- Firstly, multiply the -3 by the x - 8
x - 6 -3x + 24 > 0 --- Combine like terms...
-2x + 18 > 0 --- Subtract 18 from both sides...
-2x > -18 --- Divide both sides by -2 (flip the sign)...
x < 9
Check: Pick a number less than 9, I will use 0, and put zero in for x in the original equation.
(0) - 6 - 3(0 - 8) > 0
0 - 6 - 0 + 24 > 0
18 > 0 --- It checks out.
2006-11-23 02:54:59 · answer #1 · answered by Anonymous · 3⤊ 1⤋
x - 6 - 3(x - 8) > 0
x - 6 - 3x + 24 > 0
- 2x + 18 > 0
- 2x + 18 - 18 > 0 - 18
- 2x > - 18
- 2x/- 2 < - 18 /- 2
x < 9
The answer is x < 9
Insert the x value into the equation
- - - - - - - - - - - - - - - - - - - - - - -
x - 6 - 3(x - 8) > 0
9 - 6 - 3(9 - 8) > 0
9 - 6 - 3(1) > 0
9 - 6 - 3 > 0
9 - 9 > 0
0 > 0
- - - - - - - - - - - - - - -s-
2006-11-23 04:07:34 · answer #2 · answered by SAMUEL D 7 · 1⤊ 1⤋
Assuming you did not omit any necessary parenthesis
we have x-6-3x+24>0
-2x>-18
x<9
2006-11-23 02:55:35 · answer #3 · answered by albert 5 · 3⤊ 0⤋
x - 6 - 3(x - 8) > 0
x - 6 - 3x + 24 > 0
-2x + 18 > 0
18 > 2x
9 > x
2006-11-23 02:53:04 · answer #4 · answered by deerdanceofdoom 2 · 3⤊ 0⤋
x-6-3x+24>0 (we got posetive 24 b/c negative times negative equals posetive)
=x-3x-6+24>0
=-2x-30>0
=-2x-30+30>0+30
=-2x>30
=-2x/-2>30/-2
=x<-15 (we change the sign when we divide by negative)
the answer is all rational numbers less thatn -15. since we have no domain we take T.S(TRUE SET)= {...-20,-19,-18,-17,-16}
2006-11-23 04:23:55 · answer #5 · answered by sara 2 · 0⤊ 2⤋
Always use PEMDAS "Please Excuse My Dear Aunt Sally"...which translated is Parenthesis Exponent Multiple Divide Add Subtract to solve algebraic equations. so work out the (x-8) and then work from there but the end result is x>9
2006-11-23 02:57:45 · answer #6 · answered by barrett_shawn 3 · 3⤊ 1⤋
x-6-3x+24>0
-2x+18>0
-2x>-18
x<9
Check:
9-6-3(9-8)>0
3-3(1)>0
3-3>0
0>0
2006-11-23 03:00:14 · answer #7 · answered by Anonymous · 2⤊ 1⤋
I got confused on the first digit. Sorry :(
2006-11-23 02:52:20 · answer #8 · answered by ? 4 · 1⤊ 4⤋
i agree with crazyhorse
2006-11-23 02:58:32 · answer #9 · answered by ♥ F@$H!0N ♥ 5 · 3⤊ 2⤋