You are riding a train. Your carry-on bag can weigh no more than 50 pounds. Your bag weighs 38 pounds. Which inequalities represent how much weight you can add to your bag? w > 50 - 38
50 > W - 38
38 + w< 50
w< 50 - 38

Can you add both a 9-pound laptop and a 5-pound pair of boots to your bag without going over the weight limit?
Yes, the total being added is 4 pounds, which is a solution of the inequality.
No, the total being added is 14 pounds, which is not a solution to the inequality.
Yes, the added weight needs to be less than 38 pounds, and 9 plus 5 is less than 38.
No, the added weight needs to be at least 38 pounds, and 9 plus 5 is less than 38.

A. The inequalities are:

B. No, the total being added is 14 pounds, which is not a solution to the inequality.

Step-by-step explanation:

Given

Solving (a): Expression that represent the possible additional weight

Represent the additional weight with w

When w is added to the weight of the bag it must not be more than 50;

Not more than means less than or equal to

This is represented by

or

Make w the subject

Solving (b): If 9lb and 5lb is added to the bag, will it go overweight?

First, we need to solve the inequality in (a)

This means that additional weights must not exceed 12 pounds

Adding 9lb and 5lb, we have:

14 pounds is more than 12 pounds.

Hence: option B answers the question

step-by-step explanation:

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