Which graph represents the solution of |–2 + (x – 3)| < 7?

D

Step-by-step explanation:

the "<" (or "smaller") symbol tells us that the solution must have empty dots at the interval ends, as these values are not included in the solution.

otherwise, we would have a "<=" ("smaller or equal") symbol.

let's start for the first limit to calculate without the absolute value :

-2 + (x - 3) < 7

-5 + x < 7

x < 12

the other end we get by multiplying only the left side (still without the absolute value) by -1 and do it again :

-1×(-2 + (x - 3)) < 7

2 - (x - 3) < 7

2 - x + 3 < 7

-x + 5 < 7

-x < 2

x > -2 (remember, when we multiply the whole inequality, left and right side, by a negative value, we need to flip the inequality symbol).

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !

i think the correct option is the second option.