The inequality that models the situation is given by:
[tex]2764 + x \geq 5000[/tex]
The family currently has a balance of $2,764, and will save x, hence, the total will be given by:
[tex]T = 2764 + x[/tex]
The family would like to have at least $5,000, hence, the inequality is:
[tex]T \geq 5000[/tex]
Replacing the equation for T:
[tex]2764 + x \geq 5000[/tex]
A similar problem is given at https://brainly.com/question/25235995
