Question

I need help on this one have to fill in the blank

6n-3 > -18
n>___

Answer 1

Much like earlier, you transfer terms from left-to-right, and change the sign in the process.
\[\Large 6n\color{blue}{-3}>-18\]
Transfer the -3 to the other side, you get...?

Answer 2

-21?

Answer 3

First, add 3 to both sides.
6n>-15
Then, divide both sides by 6.
n>-15/6
Simplify
-5/2
And turn into a proper fraction.
-2 1/2

Answer 4

I said... when you transfer a term, you ALWAYS change its sign.

Answer 5

so 21? @terenzreignz

Answer 6

@Sushirolls12 very much confused?

Answer 7

Change the sign ONLY for the -3 and not for the -18.

Answer 8

i refer the ans to @Sushirolls12 is correct.

Answer 9

so confused!

Answer 10

You change the sign because you have to balance the equation. Because the sides have to be equal to each other, you do the same thing to each side.
When solving an algebraic equation, you have to isolate the variable on one side. In this case, you have to get 6n by itself.

Answer 11

\[\Large a \color{red}{+c}>b\]\[\Large a>b\color{blue}{-c}\]
\[\Large a \color{blue}{-c}>b\]\[\Large a>b\color{red}{+c}\]

Answer 12

To get rid of -3 on both sides, you add 3 to both sides.

Answer 13

so -18+3=-15

Answer 14

ok what do I do next after I add 3

Answer 15

Divide both sides by the coefficient, 6. It works *ALMOST* like with equations.

Answer 16

so divide -15 by 6?

Answer 17

Yep

Answer 18

-2

Answer 19

What's -2 times 6?

Answer 20

-12

Answer 21

EXAMPLE

THIS IS AN EXAMPLE

you isolate the variable
n

treat the
> symbol
like the
= symbol


5n - 4 > -12
to have n on one side
add four to both sides
5n - 4 > -12
5n -4 + ( 4 ) > -12 + (4)
equals
5n > - 9
multiply by reciprocal of 5 to both sides
1
--- [ 5n > - 9 ]
5

that cancels out 5
you are left with
9
n > - ---
5

because the you multiplied 1/5 by -9
the answer in the EXAMPLE will be
9
n > - ---
5



6n -3 > -18

"IF" there was or is multiplication of - numbers
sign of
>
will switched
<

Answer 22

Since -12 isn't -15, your answer isn't correct. Try again.

Answer 23

take out the 6n - 3 > -18 at the end

Answer 24

The answer is -15/6, but you have to simplify it.

Answer 25

What number can you divide both 15 and 6 by?

Answer 26

3

Answer 27

Divide both the numerator and the denominator (top and bottom numbers) by 3, and you get the simplified form of the fraction -5/2

Answer 28

The last step is to turn -5/2 into a proper fraction, which is when the numerator (top number) is smaller than the denominator (bottom number). The largest number you can multiply 2 by to get to -5 without going over is -2, so the final answer is -2 1/2

Answer 29

ok so its -2 1/2?

Answer 30

Yep

Answer 31

ok thank u so much for helping me I never get math its so confusing

Answer 32

You're welcome :D Sometimes math makes me want to headdesk, but if you try really hard to understand how the different parts work, it's easier to grasp the whole concept and apply it to problems.

Answer 33

i got it wrong after all of that

Answer 34

it was -5/2

Answer 35

-2 1/2 is equal to -5/2