Determine what values of x the expression 5-x (and 5-x is inside a radical)

Question

anonymous · Answer

i need some help please?

anonymous · Answer

wat

anonymous · Answer

i don't understand how to solve the question, could you help please?

anonymous · Answer

What equation? You only provided an expression of $$\sqrt{5 - x}$$

anonymous · Answer

that is the equation, but the question is asking me to determine the values of x in the expession

anonymous · Answer

Do you mean the range of the expression? There's no equation to solve. An equation should have an equal sign

anonymous · Answer

I meant domain lol

anonymous · Answer

well it's an expression and i have to determine the values of x in the expression and express my answer in an inequality

anonymous · Answer

Oh so they probably mean the domain of the function

jim_thompson5910 · Answer

sounds like you want the domain

you cannot take the square root of a negative number, so 5-x cannot be negative

this means 

$$\Large 5-x\ge 0$$

solve for x to get

$$\Large 5-x\ge 0$$

$$\Large 5-x+x\ge 0+x$$

$$\Large 5\ge x$$

$$\Large x\le 5$$

jim_thompson5910 · Answer

So only values that are either equal to 5 or less than 5 are allowed to be plugged into x

anonymous · Answer

oh, that makes sense how do i solve 3x-1over 5 =8

jim_thompson5910 · Answer

Is it

$$\Large \frac{3x-1}{5} = 8$$

or

$$\Large 3x-\frac{1}{5} = 8$$

??