help me
2007-11-01 05:23:00 · 7 answers · asked by . 1 in Science & Mathematics ➔ Mathematics
Reading as:-
(1/2) y > 2y - 6
y > 4y - 12
12 > 3y
y < 4
2007-11-01 05:34:48 · answer #1 · answered by Como 7 · 0⤊ 0⤋
1/2y>2y-6
-2y+1/2y>-6
-3/2y>-6
y<-6/(-3/2) notice inequality change when dividing by a negative numer
y<4
so on a graph you would draw a dotted line at y=4 going all along the xaxis and then shade below the dotted line you drew. Basically you are saying any value of x will work and any value of y <4 will satisfy the equation
2007-11-01 05:28:02 · answer #2 · answered by Jay D 2 · 0⤊ 0⤋
1/2 y > 2(y-3)
1/2 y > 2y -6
6 > 2y - 1/2 y
6 > 3/2 y
12/3 > y
4 > y
so y value is less than 4.
2007-11-01 05:27:21 · answer #3 · answered by mariluz 5 · 0⤊ 1⤋
1/2y > 2(y-3)
1/2y > 2y - 6
-1.5y > -6
1.5y < 6 (note the symbol turning, both sides multiplied by -1 !)
y < 6/1.5
y < 4
2007-11-01 05:27:42 · answer #4 · answered by Mich90 2 · 1⤊ 0⤋
1/2y>2(y-3) ..... Start with the given inequality
(2)(1/2y)>(2)(2(y-3)) ..... Multiply both sides by the LCM of 2. This will eliminate the fractions
y>4(y-3) ..... Distribute and multiply the LCM to each side
y>4y-12 ..... Distribute
y-4y>-12 ..... Subtract 4y from both sides
-3y>-12 ..... Combine like terms on the left side
y<(-12)/(-3) ..... Divide both sides by -3 to isolate y (note: Remember, dividing both sides by a negative number flips the inequality sign)
y<4 ..... Divide
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Answer:
So our answer is y<4
2007-11-01 05:30:27 · answer #5 · answered by Jim 5 · 0⤊ 0⤋
1/2y>2(y-3)... multiply both sides by 2
y>4(y-3)... expand
y>4y-12... subtract 4y from both sides
-3y>-12... multiply by -1 and divide by 3
y<4... voila... inequality sign changes when you multiply by negative number
2007-11-01 05:30:46 · answer #6 · answered by MrBuzz 4 · 0⤊ 0⤋
.5y>2y-6
-1. 5y>-6
y<4
2007-11-01 05:30:38 · answer #7 · answered by nosa 2 · 0⤊ 0⤋