Question

Your friend solves the inequality. Is your friend correct? Explain your reasoning.

Answer 1

Given :

We have, $3(w–2)\ge 10$

$\Rightarrow \frac{3(w-2)}{3}\ge \frac{10}{3}$ [ Divide by $3$ both sides ]

$\Rightarrow (w–2)\ge \frac{10}{3}$

$\Rightarrow (w–2)+2\ge \frac{10}{3}+2$ [ Add $2$ both sides ]

$$\begin{gathered} \Rightarrow w\ge \frac{10+6}{3} \\ \therefore w\ge \frac{16}{3} \end{gathered}$$

Hence, the required inequality is $w\ge \frac{16}{3}$, so friend is incorrect.