Given the equation:
[tex]8\text{ }+\text{ 4x }\ge\text{ 12}[/tex]We are required to find x.
First subtract 8 from both sides:
[tex]8\text{ - 8 }+\text{ 4x }\ge\text{ 12 -8}[/tex][tex]4x\text{ }\ge\text{ 4}[/tex]Now, divide both sides by 4
[tex]\frac{4x}{4}\text{ }\ge\text{ }\frac{4}{4}[/tex][tex]x\text{ }\ge\text{ 1}[/tex]We did not flip the inequality sign because we divided both sides by a posite number and not a negative number. The inequality sign should be flipped only when both sides are divided by a negative number.