Question

The possible values of $x$ are given by $x+8\le 6$. What is the greatest possible value of $7x$? Explain your reasoning.

Answer 1

Find the greatest possible value of $7x$

We have,

$$\begin{gathered} \Rightarrow x+8\le 6 \\ \Rightarrow x\le 6-8 \\ \Rightarrow x\le -2 \end{gathered}$$

Now,

$$\begin{gathered} \because x\le -2 \\ \therefore 7x\le -14 \end{gathered}$$

Hence, the greatest possible value of $7x$ is $-14$.