How is an inequality different from an equation? Give a real-world scenario in which you would write an inequality rather than an equation.

June has $35. She wants to buy her sister 2 puppies as a gift! June needs to know the price so she doesn't spend more than $35.
2x < $35
2x÷2=$35÷2
x = $17.50

Is this a good example of a real life scenario where you would use an inequality rather than using a equation?

Yes. This is an excellent example.

The only correction is to keep the less-than sign rather than use the equal sign.

2x÷2 < $35÷2
x < $17.50

2x ≤ $35

Your division signs look like plus signs.

2x/2 ≤ $35/2

x ≤ $17.50 per puppy

However, if one puppy < $17.50, the other can be proportionately > $17.50.

"≤" is found by pressing "<" and "option" keys.

Thanks Ms. Sue :)

You're welcome, Amber.

Oh okay. I get it

Yes, this is a good example of a real-life scenario where you would use an inequality rather than an equation. In this scenario, June wants to buy her sister 2 puppies as a gift with a limited budget of $35. She needs to determine the maximum price she can pay for each puppy so that the total cost does not exceed $35.

To solve this problem, June can set up an inequality to represent the maximum price per puppy. Let's assume the price of each puppy is represented by variable x. Since June wants to buy 2 puppies, the total cost would be 2 times the price per puppy, which is 2x.

Now, June needs to make sure the total cost (2x) is less than or equal to her budget of $35. Therefore, the inequality becomes:

2x ≤ $35

To find the maximum price per puppy, June can solve the inequality by dividing both sides by 2 to isolate the variable x:

2x ÷ 2 ≤ $35 ÷ 2
x ≤ $17.50

So, based on June's budget, the maximum price she can pay for each puppy is $17.50.

In this scenario, using an inequality is appropriate because June wants to set an upper limit on the price she can spend per puppy to ensure she stays within her budget. An equation, on the other hand, would imply that the total cost always equals the budget, which is not the case here.