Question

Writing out and solving inequalities a number divided by three less two is at most two

Answer 1

The inequlaity is ;

$\begin{gathered} \frac{x}{3\text{ }}\text{ - 2}\leq2 \\ \end{gathered}$

And the solution is;

$x\text{ }\leq\text{ 12}$

Let the number be x

The number divided by 3

That is x/3

less two means minus 2

x/3 - 2

Is at most 2 means it is less than or equal to 2

so the inequality is;

$\begin{gathered} \frac{x}{3}\text{ - 2}\leq\text{ 2} \\ \\ \text{Solving the inequality, we have} \\ \\ \frac{x}{3}\text{ }\leq\text{ 2 + 2} \\ \\ \frac{x}{3}\text{ }\leq\text{ 4} \\ \\ x\text{ }\leq\text{ 3 }\times\text{ 4 } \\ x\text{ }\leq\text{ 12} \end{gathered}$