The larger root of the equation (x+4)(x+3)=0 is
and

Break the problem down into (x+4)=0 and (x+3)=0
X+4=0 so you subtract 4 from each side giving you x=-4
X+3=0 subtracting 3 from each side giving you x=-3
-3 is larger than -4 because when dealing with negative numbers, you want to be as close to one because that means the number is bigger.
Therefore -3 is the larger root

The inequality equation is

(2,764 + x) ≥ 5,000

Solving further, we obtain

x ≥ 2,236

where x is the amount of money the Li's family still need to save.

Step-by-step explanation:

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

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

Solution

Let x represent the amount of money the Li's family still need to save.

It is given that the family already have $2,764 in their savings account and the family needs at least $5,000.

The total amount the family will have in total, after saving x dollars to join the already saved $2,764 will now be

$(2,764 + x)

This amount must be at least $5,000, that is, this amount must be greater than or equal to $5,000.

So, the inequality equation is then

(2,764 + x) ≥ 5,000

Solving further by subtracting 2,764 from both sides, we obtain

x ≥ 2,236

Hope this Helps!!!