Merv is a large animal vet and needs to determine the amount of medicine for the horse they are treating. They can give at most 60,000 mg of the medicine throughout the day. If they give the medicine in four doses, how many milligrams can each dose be?

variable
inequality
inverse operation step
solution with inequality symbol
open or closed circle, arrow pointing left or right

9 answers

Let x be the number of milligrams in each dose.

Since Merv can give at most 60,000 mg throughout the day, the inequality that represents this situation is:

4x ≤ 60,000

To solve the inequality for x, we need to use the inverse operation step. The inverse operation of multiplication is division, so we divide both sides of the inequality by 4:

4x/4 ≤ 60,000/4
x ≤ 15,000

The solution with the inequality symbol is x ≤ 15,000.

Since the inequality is less than or equal to, we use a closed circle to represent this on a number line with an arrow pointing to the left.
what is the variable
The variable in this problem is "x."
what is the inequality
The inequality in this problem is "4x ≤ 60,000."
what is the inverse operation step
The inverse operation step in this problem is dividing both sides of the inequality by 4.
what is the solution with enequality symbol
The solution with the inequality symbol is "x ≤ 15,000."