What Is An Example Of A Real-life Word Problem Which Can Be Solved Using Algebraic Inequalities. Write The Problem, And Then Solve The Problem. Show The Algebraic Inequalities That Are Involved Including All Necessary Steps Taken To Get The Answer.?

In real life, inequalities are probably used most often when comparing resources with various requirements.

Example
I have some money and my wife has $11. We would like to attend a dance that will cost us $12. How much money must I have if we are to gain admission to the dance?
x + 11 ≥ 12    (formulate the problem--our money must exceed the admission cost)
x ≥ 12-11    (solve by subtracting 11 from both sides)
x ≥ 1
I need to have $1 or more.    (interpret results)

(It worked out that I had $7 and my wife actually had $12. She paid, and we danced 'til we dropped.)