clik here!!I need help!!!please?

Question

solve the inequality. the "/" stands for fraction not dividing.
1.1/6m>2
2.1/3p<-17
3.1/7b<61
the person who explains it better (so that I understand) will get 10 points!

Answer 1

1.1/6m>2
Rewrite: m/6 > 2
6*m/6 > 6*2
m>12

2.1/3p<-17
Rewrite: p/3 < -17
3*p/3 < 3*-17
p < -54

3.1/7b<61
Rewrite: b/7 <61
7*b/7 < 7*61
b < 427

Hope that explains it well enough...

Answer 2

You can always multiply both sides of an inequality by any positive number and the resulting inequality will still be true. (If you multiply both sides of an inequality by a negative number, you must reverse the direction of the inequality, but you won't have to do this in the examples you have given.)

1. Multiply both sides by 6
6 X 1/6 m > 6 X 2
1 X m > 12
m > 12

2. Multiply both sides by 3
3 X 1/3 p < 3 X -17
1 X p < -51
p < -51

3. Multiply both sides by 7
7 X 1/7 b < 7 X 61
1 X b < 427
b < 427

Answer 3

First off, are these (1/6)m >2 or 1/(6m) > 2. Because divided by (/) is a fraction no matter how you put it.
Second. I'll assume that you mean (1/6)m > 2:
All the problems are the same way to solve. You need to isolate the items you're solving for. To do that you need to get rid of the denominators by multiplying both sides by whatever number the denominator is. That way they will cancel out on the original side and will transfer to the other side. It's like simplifying but in reverse. Example.
(1/2)z > 3
Multiply both sides by 2
2 * (1/2) z > 3 * 2
The 2s cancel out on the right and you're left with
z > 6.

If there was another number in the numerator aside from 1 you would divide by that number. Example
(2/3) z > 5
Either multiply by 3 on both sides first then divide by 2 on both side or do the reverse first or at the same time.
you'd end up with
(3/2) * (2/3) z > 5 (3/2)
z > 15/2

Hope this helps.

Answer 4

First of all, the fraction sign *does* mean dividing. It's actually the same thing!

But anyways, here's how to figure out inequalities: Solve for the variable.

In question #1, it says (1/6)m>2. In order to get the "m" by itself, multiply by the reciprocal of (1/6), which is 6. So multiply both sides by 6. You get: m>2*(6). That's the same thing as m>12, and that's your answer.

You follow the exact same steps for the next two problems, so you should end up doing:

Question #2:

(1/3)p< -17
3*(1/3)p< -17*3
p< -51

Question #3:

(1/7)b< 61
7*(1/7)b< 61*7
b< 427

Answer 5

1. 1/6m >2 is asking: how big does m need to be so that when you multiply 1/6 and m the answer is bigger than 2. To solve this you can write 2 as a fraction. Since sixths are used in the first part you should convert 2 into sixths. 2 = 12/6. so you have 1/6m = 12/6. m must be greater than 12 in order for 1/6m to be greater than 2. m > 12

2. Same as the first problem just different numbers. -17 = -51/3
1/3p < -51/3. p must be less than -51 in order for 1/3p to be less than -17. p < -51

3. 61 = 427/7. 1/7b < 427/7. b must be less than 427 for 17/b to be less than 61. b < 427

Answer 6

okay 1/6m>2
my teacher told me that you aren't supposed to didvide fraction by fractions so you do the reverse and multiply 1/6 * 6/1 and do the same to the other side so that equalls out to m> 2*6/1 wwhich equalls 12 so

m>12

1/3p<-17 you do it the same way 3/1*1/3p<-17*3/1 which equalls

p<-51

1/7b<61 I skipped a few steps but you should get it by now
b < 61 * 7 so b<427

Answer 7

I think you just solve it like you would an equation. Like, for the first one, multiply the 2 by 6 (to get rid of the fraction on the left side). Also, when ever you multiply or divide an inequality by a negative number, you flip the inequality sign.

Answer 8

ok the first one you would take the 1/6 and times by 6 on each side to give you a m>6. Then you would take the 1/3 on the other one and times the three to get a p<-51. You do the same thing with the last one. hope it helps!

Answer 9

the first one is correct but not equal yah its right-.18333
the second is wrong cuz it equals .7
the third is right but make sure all answers end witht he variable p on the end

hope i helped you
xoxoxo good luck

Answer 10

m>12
p<-51
b<427

you divide the # on the right by the fraction so you get the variable by itself...