Give a real-world scenario in which you would write an inequality rather than an equation.
I was thinking, Jack has to bring at least $25 to a carnival. So the inequality would be x ≥ 25?
or could you help me with a different example?
I came up with a different example,
Jack wants to buy 4 pumpkins, but he needs to know how much the pumpkins cost so he doesn't spend more than $25.
4p ≤ 25
4p/2 ≤ 25/4
p=6.25
p ≤ $6.25
is this right?
both are good examples
Yes, your example with Jack and the carnival is a great real-world scenario where an inequality would be used. The inequality x ≥ 25 accurately represents Jack having to bring at least $25 to the carnival. This means that any amount of money, including amounts greater than or equal to $25, would satisfy the condition.
Here's another example to help you understand when to use an inequality:
Let's say Jane wants to lose weight and her target weight loss is at least 10 pounds. In this scenario, an inequality would be more appropriate. We can represent this as w ≤ -10. The variable w represents the amount of weight lost, and the inequality indicates that the value needs to be less than or equal to -10. This means that Jane's weight loss can be exactly 10 pounds or any amount greater than 10 pounds.
Using inequalities allows us to express conditions that involve ranges or restrictions rather than exact values, making them suitable for various real-world situations.