The inequality that represents the word sentence is:
[tex]\frac{x}{4} \leq 5[/tex]
The solution is [tex]x \leq 20[/tex].
The quotient is the division of the first number by the second, thus the quotient of x and 4 is given by:
[tex]\frac{x}{4}[/tex]
At most 5 means that the result is of 5 or less, thus, the inequality is:
[tex]\frac{x}{4} \leq 5[/tex]
Solving it, similarly to an equation:
[tex]x \leq 4 \times 5[/tex]
[tex]x \leq 20[/tex]
The solution is [tex]x \leq 20[/tex].
A similar problem is given at https://brainly.com/question/13094243
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:
https://brainly.com/question/11897796
