simplify 5 - |x - 5|, given that x >5 (I'm getting "10" cuz...)

can you please simplify 5 - |x - 5|, given that x >5.
Please read the guidelines for use of this site. When you do that, post your work.

Hint: If t1\displaystyle t\ge -1 then t+1=t+1\displaystyle |t+1|=t+1.
 
Please read the guidelines for use of this site. When you do that, post your work.

Hint: If t1\displaystyle t\ge -1 then t+1=t+1\displaystyle |t+1|=t+1.

I'm getting 10 cuz

5 - |x - 5| = 0
5 - x +5 = 0

- x + 10 = 0

x = 10

Still not sure if this right. Also, there's a hint with it: [FONT=&quot]Try choosing a test value for [/FONT][FONT=&quot][/FONT][FONT=&quot][FONT=MathJax_Math-italic]x[/FONT][/FONT][FONT=&quot] that satisfies the inequality..[/FONT]
 
I'm getting 10 cuz

5 - |x - 5| = 0
5 - x +5 = 0

- x + 10 = 0

x = 10

Still not sure if this right. Also, there's a hint with it: Try choosing a test value for [FONT=MathJax_Math-italic]x[/FONT] that satisfies the inequality..
x = 10 certainly satisfies the given equation. But:

What do you get when x = 0 ?
 
It says answer is incorrect
That is because:

Your given condition is that x>5.

So x = 0 cannot be answer (It satisfies the equation but does not satisfy the given condition)
 
I'm getting 10 cuz
5 - |x - 5| = 0
Still not sure if this right. Also, there's a hint with it: Try choosing a test value for [FONT=MathJax_Math-italic]x[/FONT] that satisfies the inequality..
There is absolutely nothing about equaling zero on the original post.
If x>5\displaystyle x>5 then 5x5=5(x5)=10x\displaystyle 5-|x-5|=5-(x-5)=10-x
Now where is the =0 ?\displaystyle \Large =0~?
 
There is absolutely nothing about equaling zero on the original post.
If x>5\displaystyle x>5 then 5x5=5(x5)=10x\displaystyle 5-|x-5|=5-(x-5)=10-x
Now where is the =0 ?\displaystyle \Large =0~?

Thanks for helping me out. I just assumed the value of 0.
 
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… simplify 5 - |x - 5|, given that x >5

5 - |x - 5| = 0
First you posted an expression, then you posted an equation.

If your original post shows the actual exercise, then don't set the expression equal to zero. You know x-5 is positive (because x is greater than 5). Therefore, |x-5| is the same as (x-5).

5 - (x - 5)

Simplify it. :cool:
 
First you posted an expression, then you posted an equation.

If your original post shows the actual exercise, then don't set the expression equal to zero. You know x-5 is positive (because x is greater than 5). Therefore, |x-5| is the same as (x-5).

5 - (x - 5)

Simplify it. :cool:

What if |6 - X| - 9, Given that X > 6

Will |6 - X| be (x-6)?
 
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First you posted an expression, then you posted an equation.

If your original post shows the actual exercise, then don't set the expression equal to zero. You know x-5 is positive (because x is greater than 5). Therefore, |x-5| is the same as (x-5).

5 - (x - 5)

Simplify it. :cool:

Ah I got the concept behind it. If it's |6-x|-9 then it would be (x-6)-9 = x-15.

Thanks guys for helping me out :)
 
can you please simplify 5 - |x - 5|, given that x >5.

5x5={5(x5)x55(5x)x<5\displaystyle 5-|x-5|=\begin{cases}5-(x-5) & x\ge 5 \\ 5-(5-x) & x<5\end{cases}

5x5={10xx5xx<5\displaystyle 5-|x-5|=\begin{cases}10-x & x\ge 5 \\ x & x<5\end{cases}
 
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