Question

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

Answer 1

Answer:

Given the statement: The quotient of a number x and 4 is atmost 5.

Let x be a number.

"quotient of a number x and 4" represented as $\frac{x}{4}$

"at most" means '$\leq$'

Therefore, the inequality for the given statement is;

$\frac{x}{4}\leq 5$

Solve the above inequality:

$\frac{x}{4}\leq 5$

multiply both sides by 4 we get;

$4 \times \frac{x}{4} \leq 4 \times 5$

Simplify:

$x\leq 20$

Therefore, the solutions for the given inequality is:  $(-\infty , 20]$

Answer 2

Answer:

$x\in(-\infty,20$]

Step-by-step explanation:

Word sentence:The quotient of  a number x and 4 is at most 5.

Let x be the number .

Quotient of  a number x and 4 =$\frac{x}{4}$

Atmost means $\leq$

According to question

$\frac{x}{4}\leq 5$

We have to solve the inequality equation.

Multiply by 4 on both sides

$4\times\frac{x}{4}\leq 5\times 4$

$x\leq 20$

Hence, the value of x belongs to $(-\infty,20$]