Given that x < 5, rewrite 5x - |x - 5| without using absolute value signs.

For , , therefore

So, for ,

So, if we have an arbitrary number under the absolute value, say y, we have |y| to be:

Which in plain english means "If y is less than 0, then the absolute value of y is the negation of y, and if y is greater than 0 then the absolute value of y is y."

So, in our above absolute value expression we would have:

Since we are given x<5, we know that the absolute value actually negates what's encompassed by it so we have:

So our expression without the absolute value signs is simply 6x-5.

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead