Respuesta :

[tex]\frac{j}{2}\ge \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:j\ge \:6\:\\ \:\mathrm{Interval\:Notation:}&\:[6,\:\infty \:)\end{bmatrix}[/tex]

Solution:

Given that,

[tex]\frac{j}{2} \geq 3[/tex]

We have to solve the inequality

Remember that,

When we add or subtract or divide or multiply a number in one side of inequality, it must also be added or subtracted or divided or multiplied on other side of inequality also

From given,

[tex]\frac{j}{2} \geq 3\\\\\mathrm{Multiply\:both\:sides\:by\:}2\\\\\frac{2j}{2}\ge \:3\cdot \:2\\\\Simplify\\\\j\ge \:6[/tex]

The solution set is:

[tex]\frac{j}{2}\ge \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:j\ge \:6\:\\ \:\mathrm{Interval\:Notation:}&\:[6,\:\infty \:)\end{bmatrix}[/tex]

Thus solution for j is found