Does the associative property always, sometimes, or never hold for subtraction. explain your reasoning using examples and non-examples! !

You should remember that if the minus sign is before the parentheses, you need to distribute it, otherwise, you can always use it.

Step-by-step explanation:

The associative property says that:

A + (B + C) = (A + B) + C  

Where A, B, and C are real numbers.

Let's see if it does:

10 + (- 5 - 4) = 10 + (-9) = 1

(10 + -(5)) - 4 = 5 - 4 = 1

thiw seems to work, let's se other case:

10 - (5 - 4) = 10 - (1) = 9

now, apply the associative relation

(10 -5) + 4 = 9

Where the sign must change, because we actually have that -(5 - 4) = -1*(5 - 4) so we must distribute the minus sign in the parentheses.

Then, if you take this in mind, you always can use the associative property.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !