Question

The quotient of a number x and 4 is at most 5. An inequality is?

Answer 1

Answer:

The inequality can be represented as:

$\frac{x}{4}\leq5$

Solution for the inequality:

$x\leq20$

Step-by-step explanation:

Given :

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

To write an inequality for the given statement.

Solution:

The quotient of two variables $a$ and $b$ can be represented as : $\frac{a}{b}$

Thus the quotient of the number $x$ and 4 can be represented as:

⇒  $\frac{x}{4}$

The quotient is at most 5 which means it is less than or equal to 5.

Therefore, the inequality can be represented as:

$\frac{x}{4}\leq5$

Solving for $x$.

Multiplying both sides with 4.

$4\times \frac{x}{4}\leq5\times 4$

$x\leq20$

Thus, the number must be at most 20.