Question

Solve the following inequation:\( 3-2x \geq x-12, given~ x~ \epsilon N.\)

Answer 1

\(3-2x \geq x-12,\\
\Rightarrow -2x-x\geq -12 - 3\\
\Rightarrow-3x \geq - 15\\
\Rightarrow 3x \leq 15\\
\Rightarrow x \leq 5\)
So, the solution set is \(\left \{ 1,2,3,4,5 \right \}\)