Marisol is preparing a care package to send to her friend Lynn. The package will include a board game that weighs 4 pounds and several snack packs that each weigh ½ pound. The total weight of the care package must be LESS THAN 25 pounds.

(a) Write an inequality to model the situation. Make sure to say what your variable stands for. (2 points)

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(b) Solve the inequality. Show your work. (Your solution should also be written as an inequality.) (2 point)

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(c) What is the maximum number of snack packs that Marisol can include? Write your answer in the form of a sentence. (1 points)

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(a) weight of snack packs (b) (c)

Step-by-step explanation:

(a) Write an inequality:

What does your variable stand for:

weight of snack packs

(b) Solve the inequality.

Subtract 4 from both sides:

Divide both sides by

(c) The care package has to weigh less than . Since the total weight of the care package can not be equal to , the maximum number of snack packs that Marisol can include is .

-6 < x < 4

Step-by-step explanation:

|5x+5|<25

There are two solutions to an absolute value inequality, one positive and one negative.  Remember to flip the inequality on the negative

5x+5<25        and            5x+5 > -25

Subtract 5 from each side

5x+5-5<25-5        and            5x+5-5 > -25-5

5x < 20            and                            5x > -30

Divide by 5

5x/5<20/5        and                             5x/5 > -30/5

x < 4    and                                      x > -6

Putting these together since it is an and

-6 < x < 4