Translate into a variable expression. Then simplify the expression. seventeen more than the difference between a number n and three

Answer 1

17 + (x-3) = 17 +x -3 = 14+x

it's equivalent to 14 more than the number

or

17 + (3-x) = 20-x

the difference between a number and 3 is the absolute value of their difference = lx-3l

17 + lx-3l = either 14+x or 20-x

17 +lx-3l =17 +x-3 if x>3

=14+x

but

17+lx-3l = 17 + (-x+3) if x<3

= 20-x

lx-3l is the difference between a number and 3. it's value depends on whether x>3 or x<3

if x=3, it then lx-3l =0