Question

Find the largest value of x for which $2(x-1)\le 9-x$ and $x\in W$.

Answer 1

Given that: $2(x-1)\le 9-x$

$\Rightarrow 2x-2\le 9-x$

Rule: If a term of an inequation is transferred from one side to the other side of the inequation, the sign of the term gets changed. Let's apply this rule in the above inequation.

$\Rightarrow 2x+x\le 9+2$

$\Rightarrow 3x\le 11$

$\Rightarrow x\le \frac{11}{3}$

$\Rightarrow x\le 3.67$

Since, replacement set is the set of all whole numbers, hence solution set is: {0, 1, 2, 3}

$\therefore$ the largest value of $x$ is 3.