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Li's family is saving money for their summer vacation. Their vacation savings account currently has a balance of [tex]$\$ 2,764$[/tex]. The family would like to have at least [tex]$\[tex]$ 5,000$[/tex][/tex].

Which inequality can be used to determine the amount of money the family still needs to save?

A. [tex]2764 + x \ \textgreater \ 5000[/tex]
B. [tex]2764 + x \geq 5000[/tex]
C. [tex]2764 + x \leq 5000[/tex]
D. [tex]5000 + x \ \textgreater \ 2764[/tex]



Answer :

GinnyAnswer
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]

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