Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
2. Solving Inequalities Using Addition or Subtraction
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Exercise 25 Page 65

Practice makes perfect
a

Our carry-on bag cannot exceed 50 pounds, the total weight of the stuff in our bag must be less than that. We can express this mathematically as an inequality.

... ≤ 50Let x be the additional weight we can add to our bag. Then we can write the inequality with the left-hand side is the current weight of our carry-on plus any additional weight we can fit. 38+ x≤ 50 Let's solve this inequality for x.

38+x≤ 50
38+x-38≤ 50-38
x≤ 12

We can add up to 12 pounds to our bag.

b

The total weight of the laptop and the pair of boots is the sum of their weights.

9+5=14 pounds We found in the previous section that we can add up to 12 pounds to our bag. The combined weight of the laptop and the pair of boots is more than 12 pounds, and, therefore, we cannot add both of them to our bag.