PLEASE HELPPPP GREAT TIME TO GET EXTRA POINTS

Ok, so we are supposed to match each inequality with one of the situations below. Since there are five situations and only four inequalities, we are going to have one situation left over.

Let's focus on the first inequality, t < 28. This means that "t is less than 28," so we have to look for a situation that shows something is less than something else.

For starters, we can automatically eliminate any situations that have the number 29 in them since the inequality is dealing with 28, 29.

The situations that deal with 28 are:

1st situation: Tia ran the race in under 28 seconds

2nd situation: The temperature is warmer than 28 degrees Fahrenheit

3rd situation: Steve has no more than 28 toys.

Let's focus on the first situation: Tia ran the race in under 28 seconds, so Tia must have ran a time that is less than 28 seconds. We don't know exactly what time she ran the race, which is the reason why we use t to represent her time in the situation.

The key word under shows that we are talking about less than or fewer than, so we are going to use the < (less than) symbol.

Her time, t, needs to be less than 28 seconds, which as an inequality is: t < 28.

For the 2nd situation, the temperature is warmer than 28 degrees Fahrenheit, we are talking about a temperature greater than 28 degrees Fahrenheit. We don't know exactly what the temperature is, which is why we use the variable t, but we know that it needs to be greater than (>) 28.

The words "warmer than" implies "more than/greater than", so we need to use this symbol >

The temperature, t, needs to be warmer than/greater than 28, which looks like this as an inequality: t > 28.

For the 3rd situation, Steve has no more than 28 toys, he could only have up to 28 toys. The maximum number of toys he can have is 28 toys.

The words "no more than" imply "less than or equal to", or [tex]\leq[/tex]

Steve can have 28 toys, but that is his limit. He can't have anything more. This is what it would look like as an inequality: [tex]t\leq 28[/tex]

None of the inequalities have this sign [tex]\leq[/tex], so the Steve situation is the only one that will be left over.

Let's focus on the situations that have 29 in them, which are the following:

1st situation: Tony is younger than 29 years old.

2nd situation: The table is heavier than 29 kilograms.

For the 1st situation, Tony is younger than 29 years old, we are talking about some age, t, where Tony is younger than 29. We don't exactly how old Tony is, but we know that he is younger than 29.

The words "younger than" imply "less than", so we are going to use the less than symbol, <, to represent this situation.

Tony's age, t, is less than 29 years old, which looks like this as an inequaility: t < 29.

For the 2nd situation, the table is heavier than 29 kilograms, we are talking about a table being more than 29 kilograms. We don't exactly what the weight is, which is why we use t, but we know that it needs to be more than 29 kilograms.

The words "heavier than" imply "more than", so we are going to use the greater than symbol >

The table's weight, t, is greater than 29 kilograms, which looks like this as an inequality: t > 29.

I hope this helps! If any part of my explanation does not make sense, please let me know! I can always clarify if needed. I hope you have a great rest of your day!