How Do You Use Division with Positive Numbers to Solve an Inequality Word Problem?

's' is a variable that represents the number of signatures Lemont already obtained
≥ means greater than or equal to
Dividing by both sides by 7 gives us just 's' on the left
The inequality stays the same because we did not divide by a negative number

1. 's' is a variable that represents the number of signatures Lemont already obtained
1. This tells us 7•s should go on one side of the equation, we will put it on the left
2. 's' is a variable that represents the number of signatures Lemont already obtained
1. 's' is a variable that represents the number of signatures Lemont already obtained
1. So 7•s needs to be at least 609
2. That means we need an inequality
3. 's' is a variable that represents the number of signatures Lemont already obtained
1. Our inequality is 7s ≥ 609, where ≥ means greater than or equal to
2. 's' is a variable that represents the number of signatures Lemont already obtained
1. We have to use the division property of inequality to solve for 's'
2. 's' is a variable that represents the number of signatures Lemont already obtained
1. Division is the opposite of multiplication
2. The division property of inequality says that if we divide one side by a number, we have to divide the other side by that same number
1. We are dividing both sides by 7
2. 's' is a variable that represents the number of signatures Lemont already obtained
3. The left side is just 's' and the right side is 87
1. If we did divide by a negative number, we would have to change the ≥ to a ≤
2. '≤' means less than or equal to
3. '≥' means greater than or equal to

Lemont is gathering signatures for a petition to make algebra day a national holiday. If he gets 7 times the number of signatures he has right now, he'll have at least enough signatures to break the minimum of 609 signatures. How many signatures has Lemont collected so far?