Question

Solve for j. j/2 ≥3 Solve one-step linear inequalities

Answer 1

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

Solution:

Given that,

$\frac{j}{2} \geq 3$

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,

$\frac{j}{2} \geq 3\\\\\mathrm{Multiply\:both\:sides\:by\:}2\\\\\frac{2j}{2}\ge \:3\cdot \:2\\\\Simplify\\\\j\ge \:6$

The solution set is:

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

Thus solution for j is found