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.

Question

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Respuesta :

MrRoyal MrRoyal · Answer 1 · 2020-11-25T13:56:18+01:00

Answer:

A. The inequalities are:

[tex]w + 38 \leq 50[/tex]

[tex]38 + w \leq 50[/tex]

[tex]w \leq 50 - 38[/tex]

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

Step-by-step explanation:

Given

[tex]Maximum = 50[/tex]

[tex]Bag = 38[/tex]

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

[tex]w + 38 \leq 50[/tex] or [tex]38 + w \leq 50[/tex]

Make w the subject

[tex]w \leq 50 - 38[/tex]

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

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

[tex]w \leq 50 - 38[/tex]

[tex]w \leq 12[/tex]

This means that additional weights must not exceed 12 pounds

Adding 9lb and 5lb, we have:

[tex]9 + 5 = 14[/tex]

14 pounds is more than 12 pounds.

Hence: option B answers the question