Solving inequality?

simply because when a positive number is divided by a negative number it becomes negative. Hence the original statement will not be valid.

you first ought to get X via itself. to try this subtract the three away. So now you have 2X=-2 The to get the X thoroughly via itself you divide the two away (given it fairly is the guideline, to divide). So X =-a million (and that's because you divided the two faraway from the X and on the different facet it substitute into divided via the -2. desire that facilitates.

7 < 9
- 7 > - 9

- 5 < - 1
5 > 1

- 3 < 7
3 > - 7

12 > 4
- 12 < - 4

Above examples show that when multiplying both sides of an equality by - 1 , the inequality sign must be reversed.

you only change the side of an inequality when you are dividing or multiplying by a negative number. if you do this by a positive number, then it stays the same.

you only change the sign of the inequality if the number you are dividing(or multiplying) by a NEGATIVE NUMBER! you dont change the sign if your dividing by a positive number...

If you swap the numbers over, i.e. -3 < 3x, then -1 < x. Therefore you have to change signs if you divide by a minus

because you divide by minus
whenever you divide by minus you have to change the inequality direction otherwise you treat it as = sign

You don't change the sign when dividing an inequality, you change the sign when you divide or multiply by a negative number.

Take a simple example.
2<3 but -2>-3

So, when you divide or multiply by a negative number, you change the direction of the inequality.

Take a look at this example
We all know that 2 < 4
when we divide both sides by a negative number (-2)
2/(-2) < 4/(-2)
-1 < -2 which is false so if we change the sign
-1 > -2 which makes the statement true so that's why we change the sign

if is true -3x < 3 then if you add 3x to both member obtain
-3x+3x<3+3x
0<3(1+x) because 3 is positive number then (1+x)>0
then x>-1