Question

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

“Five times a number is at least $45$.”

Short answer

The equation is $5x\ge 45$ and the solution of inequality is $x\ge 9$.

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 Five times a number is at least $45$.

From the above, Let the number be x.

Then, according to statement of question, the inequality is $5x\ge 45$.

Step -3 – Finding the solution of equation for x

Now, The inequality is $5x\ge 45$.

Simply dividing by $5$, to both side of the equation,

$\begin{array}{l}5x\ge 45\\ \frac{5x}{5}\ge \frac{45}{5}\\ x\ge 9\end{array}$