Write the word sentence as an inequality. then solve the inequality. the quotient of a number x and 4 is at most 5.

The inequality that represents the word sentence is:

The solution is .

The quotient is the division of the first number by the second, thus the quotient of x and 4 is given by:

At most 5 means that the result is of 5 or less, thus, the inequality is:

Solving it, similarly to an equation:

The solution is .

A similar problem is given at link

We have a word sentence and from it we want to get an inequality.

The inequality is: x/4 ≥ 5

And the solution is: x ≥ 20

We start with the word sentence:

"The quotient of a number x and 4 is at most 5"

The quotient of x and 4 is written as:

x/4

And this can be, at most, equal to 5, so it can be smaller than or equal to 5, to define this we use the symbol "≥"

Then we can write the inequality:

x/4 ≥ 5

Now we can solve it for x, by multiplying both sides by 4:

4*(x/4) ≥ 5*4

x ≥ 20

If you want to learn more, you can read:

link