Final answer:
To solve 'The difference of 14 and 9x is greater than or equal to 2x', form the inequality 14 - 9x >= 2x, combine like terms to get 14 >= 11x, and divide by 11 to find that x <= 14/11 or x <= 1.27.
Step-by-step explanation:
To solve the inequality 'The difference of 14 and 9x is greater than or equal to 2x', first represent it algebraically. The equation is as follows:
14 - 9x ≥ 2x
Next, let's move all terms involving x to one side of the inequality:
14 ≥ 2x + 9x
Combine like terms:
14 ≥ 11x
Now, divide both sides by 11 to solve for x:
≥ 14 / 11
x ≤ 14 / 11
The solution to the inequality is x ≤ 1.27, meaning x can be any number less than or equal to approximately 1.27.