Yvonne owes her sister $25. Michael's checking account balance is -$20. Write an inequality to compare the amounts. Explain the meaning of the inequality.
To compare the amounts, we need to consider the fact that Yvonne owes her sister $25, which can be represented as Yvonne's debt as -$25. Michael's checking account balance is -$20, indicating that he has a negative balance of $20.
To write an inequality comparing the amounts, we can use the greater than or less than symbols (< or >). In this case, since Yvonne's debt is negative and Michael's balance is also negative, we can symbolize this as:
Yvonne's debt > Michael's balance
In mathematical notation, this would be represented as:
-25 > -20
The meaning of this inequality is that Yvonne's debt of -$25 is greater than Michael's negative balance of -$20. This implies that Yvonne owes more money than Michael's negative balance.