Question

Which of the following is the solution to 3x - 1>=12

Answer 1

The solution to
`3x\:-\:1\ge 12` is
`x\ge (13)/(3)`.

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
`3x\:-\:1\ge 12`

`\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\\\3x-1+1\ge \:12+1\\\\\mathrm{Simplify}\\\\3x\ge \:13\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\(3x)/(3)\ge (13)/(3)\\\\\mathrm{Simplify}\\\\x\ge (13)/(3)`