To determine the amount of money Li's family still needs to save to reach their goal of at least \[tex]$5000, let's translate this situation into an inequality step-by-step.
1. Identify the known quantities and the goal:
- Current balance in the vacation savings account: \$[/tex]2764
- Desired balance for the vacation savings account: \[tex]$5000
2. Define the unknown variable:
- Let \( x \) represent the additional amount of money the family needs to save.
3. Set up the inequality:
- We need the sum of the current balance and the additional amount \( x \) to be at least \$[/tex]5000.
4. Express this requirement mathematically:
- The current balance plus the additional amount should be greater than or equal to the required balance.
- This translates to:
[tex]\[
2764 + x \geq 5000
\][/tex]
Therefore, the inequality that can be used to determine the amount of money Li's family still needs to save is:
[tex]\[
2764 + x \geq 5000
\][/tex]
