math help ??

Question

-x > -2/3
when i switch > to < do i switch -x to positive x help ??

Answer 1

when you switch -x to x, you are multipling by -1. This needs to be done to both sides of the equation. One of the rules of algebra is that when ever you multiple or divide both sides of the equation by a negative number, you must flip the > to a <, or the < to a >. So...

-x > -2/3
-x * -1 < -2/3 * -1
x < 2/3

i hope that helps!

Answer 2

The only way " x < -2/3" will be true is if :
x IS ALWAYS less then -2/3!
Suppose x = 1/3, then " -x = -1/3"; here "-x > -2/3" is true. But 1/3 is more than -2/3. Hence, the statement " x < -2/3" cannot be true!!
To keep the statement true for all values of x, even after switching from ">" to "<" in :
" -x > -2/3"
the new statement should read :
"-2/3 < -x"

Answer 3

You have it backwards.

If a negative x is greater than another negative number, it means that x is closer to zero than that other number (ie, -2 is greater than -4).

When you multiply the inequality by a negative 1 to switch the signs, the relationship doesn't change. X is still closer to zero, so x must be less than 2/3.

Answer 4

Whenever you multiply or divide by a negative you must flip the inequality.

Therefore in this problem you are multiplying through by a -1.

You should get: x < 2/3.

Answer 5

both the signs switch, so x< 2/3

I think that's how it works anyway.

Answer 6

I think the rule is if you divide by a negative number, you have to change the < >.

Answer 7

u swith the signs too.
so its x<2/3

Answer 8

i think you change the -x to positive x

Answer 9

always when you wound up with a - number you must always have a -x