Respuesta :
Answer:
The inequality can be represented as:
[tex]\frac{x}{4}\leq5[/tex]
Solution for the inequality:
[tex]x\leq20[/tex]
Step-by-step explanation:
Given :
The quotient of a number [tex]x[/tex] and 4 is at most 5.
To write an inequality for the given statement.
Solution:
The quotient of two variables [tex]a[/tex] and [tex]b[/tex] can be represented as : [tex]\frac{a}{b}[/tex]
Thus the quotient of the number [tex]x[/tex] and 4 can be represented as:
⇒ [tex]\frac{x}{4}[/tex]
The quotient is at most 5 which means it is less than or equal to 5.
Therefore, the inequality can be represented as:
[tex]\frac{x}{4}\leq5[/tex]
Solving for [tex]x[/tex].
Multiplying both sides with 4.
[tex]4\times \frac{x}{4}\leq5\times 4[/tex]
[tex]x\leq20[/tex]
Thus, the number must be at most 20.
The inequality is [tex]x \leq 20[/tex].
Given that,
The quotient of a number x and 4 is at most 5.
We have to determine,
The inequality is .
According to the question,
The quotient of two variables a and b can be represented as a/b.
To find the inequality which represent the quotient of a number x and 4 is at most 5, follow all the steps given below.
- Step1; The quotient of the number x and 4 can be represented as .
[tex]= \dfrac{x}{4}[/tex]
- Step2; The quotient is at most 5 which means it is less than or equal to 5.
[tex]\dfrac{x}{4}\leq 5[/tex]
- Step3; The inequality solve for x, by multiply by 4 on both the sides.
[tex]4 \times \dfrac{x}{4} \leq 5 \times 4\\\\x \leq 20[/tex]
Hence, The inequality is [tex]x \leq 20[/tex].
To know more about Inequality click the link given below.
https://brainly.com/question/8521987
