Ben has $19 to spend. he spent $7.25, including tax, to buy a notebook. he needs to save $2.75 but he wants to buy a snack. if pretzels cost $0.50 per package including tax, what inequality would show the maximum number of packages that ben can buy? solve your inequality by showing your work and steps.

19 - 7.25 = 11.75  so you do not have the cost of the notebook in there

(0.50p) + 2.75  ≤ 11.75  <-- is your inequality

How to solve the the inequality

First you need to subtract 2.75 from both sides.

0.5p + 2.75 − 2.75 ≤ 11.75 − 2.75 to get...

0.5p ≤ 9

Then you need to divide both sides by 0.5.

0.5p divided by 0.5 ≤ 9 divided by 0.5 and then you would have...

p ≤ 18

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: