2. The bank requires a minimum balance of $50 in the savings account. It does not matter how much money is kept in the checking account. You can deposit a maximum of $600. Write an inequality representing this situation.
Let "x" represent the amount of money deposited in the savings account.
Since the bank requires a minimum balance of $50 in the savings account, the inequality that represents this situation is:
x ≥ 50
Additionally, since the maximum deposit allowed is $600, the inequality representing this situation is:
x ≤ 600
Let's denote the amount of money in the savings account by S and the amount of money in the checking account by C. The inequality representing this situation would be:
S ≥ $50
This inequality states that the amount of money in the savings account (S) must be greater than or equal to $50.
To represent this situation as an inequality, we can use the symbol "<=" (less than or equal to). Here's how we can construct the inequality step-by-step:
Step 1: Let's assign variables to the amounts in the savings and checking accounts.
Let "s" represent the amount of money in the savings account.
Let "c" represent the amount of money in the checking account.
Step 2: The bank requires a minimum balance of $50 in the savings account.
This means that "s" must be greater than or equal to $50. We can write this as:
s >= 50
Step 3: It does not matter how much money is kept in the checking account.
Since the checking account balance doesn't matter, we don't need to impose any limitations on it with an inequality.
Step 4: You can deposit a maximum of $600.
This means that the total amount of money in both accounts (savings and checking) should be less than or equal to $600. Since there is no maximum limit set for the checking account balance, we only need to consider the savings account balance. We can write this as:
s <= 600
Combining all the conditions, we have the inequality:
s >= 50 and s <= 600
This inequality shows that the savings account balance must be at least $50 and at most $600.