SOLUTION: If the opposite of a number must be greater than twice the number, what are the possible numbers? This section was on ineqaulities. Please show me how to work this I am very confus

Question 450145: If the opposite of a number must be greater than twice the number, what are the possible numbers? This section was on ineqaulities. Please show me how to work this I am very confused.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If the opposite of a number must be greater than twice the number, what are the possible numbers?
:
let x = the number
then
-x = the opposite of the number
:
Write an equation for the given statement:
-x > 2x
-x - 2x > 0
-3x > 0
We want x to be positive, multiply by -1, this reverses the inequality sign.
3x < 0
From this we can say x is any value less than 0 (all negative values)
:
For example say that x = -3, put this in our original equation
-x > 2x
-(-3) > 2(-3)
+3 > -6, true

RELATED QUESTIONS
If a number is less than 5 minus twice its opposite, what are the possible... (answered by Fombitz)

if a number is less than six minus twice its opposite what are the possible... (answered by Fombitz)

If a number is less than five minus twice its opposite, what are the possible numbers? (answered by MathLover1)

If a number is nine less than twice its opposite, what are the possible... (answered by macston)

five times the opposite of a number was increased by 25. This was exactly 90 greater than (answered by elima)

five times a number is 35 greater than twice the opposite of the number. What is the... (answered by palanisamy)

Twice a number is 16 greater than two times the opposite of the number. What is the... (answered by stanbon)

Twice a number is greater than or equal to negative 5, what are the possible values of... (answered by ikleyn)

The sum of 13 and the opposite of a number was multiplied by 3. This result was 11 less... (answered by ikleyn)