Answer:
The solution to [tex]3x\:-\:1\ge 12[/tex] is [tex]x\ge \frac{13}{3}[/tex].
Step-by-step explanation:
An inequality is a mathematical relationship between two expressions and is represented using one of the following symbols: inequalities involving "<", "≠" or ">" are referred to as "strict inequalities", while inequalities involving "≤" or "≥" are not.
Solving an inequality means finding all of its solutions. A solution of an inequality is a number which when substituted for the variable makes the inequality a true statement.
To find the solution to [tex]3x\:-\:1\ge 12[/tex]
[tex]\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\\\3x-1+1\ge \:12+1\\\\\mathrm{Simplify}\\\\3x\ge \:13\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}\ge \frac{13}{3}\\\\\mathrm{Simplify}\\\\x\ge \frac{13}{3}[/tex]