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In your journal, you made up an inequality and solved it. You also brainstormed what it would look like to communicate your solution clearly if your inequality represented a real-world problem.. In your first post, share your inequality and solution with your peers. Then ask your peers if they can come up with a real-world problem that could be solved using your inequality.

2 answers

Inequality:
Let's consider the inequality \( 3x + 5 < 20 \).

Solution:
To solve for \( x \), we will isolate \( x \) on one side of the inequality:

  1. Subtract 5 from both sides: \[ 3x < 15 \]

  2. Divide both sides by 3: \[ x < 5 \]

The solution tells us that \( x \) must be any number less than 5.

Real-World Context:
Imagine this inequality represents the maximum number of items a person can buy at a store within a budget. If \( x \) represents the number of items, and each item costs $3, plus a flat fee of $5 for the purchase, then the total cost must be less than $20.

In this case, if the person adheres to this limitation, they can buy a maximum of 4 items (since \( 5 \) is not less than \( 5 \)).

Now, I’d love to hear from you:
Can you think of a different real-world problem that could be modeled by the inequality \( 3x + 5 < 20 \)?

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