Question

Write the verbal sentence as an inequality. Also, solve the equation

“A number divided by $2$ is no more than $5$.”

Short answer

The equation is $\frac{x}{2}\le 5$ and the solution of inequality is $x\le 10$.

Step-by-step solution

Step -1 - Apply the concept of linear equations

In this, simply use the concept of understanding the problem and their words very carefully and also take a suitable variable to make equation and also do various mathematical operation to get the solution.

Step -2 – Find the inequality by explaining the statement

Here, The statement A number divided by $2$ is no more than $5$.

From the above, Let the number be x.

Then, according to statement of question, the inequality is $\frac{x}{2}\le 5$.

Step -3 – Finding the solution of equation for x

Now, The inequality is $\frac{x}{2}\le 5$.

Simply multiplying by $2$, to both side of the equation,

$\begin{array}{l}\frac{x}{2}\le 5\\ \frac{x}{2}\times 2\le 5\times 2\\ x\le 10\end{array}$