Linear Inequality Word Problems

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤). It represents a range of possible solutions.

The symbol '>' means 'greater than'. It indicates that the value on the left side of the inequality is larger than the value on the right side.

The symbol '<' means 'less than'. It indicates that the value on the left side of the inequality is smaller than the value on the right side.

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left side is either larger than or equal to the value on the right side.

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left side is either smaller than or equal to the value on the right side.

You represent it with the inequality $$x + y > 20$$ , where x is the hours worked in one job and y is the hours worked in another.

This is represented by the inequality $$t + e ≤ 15$$ , where t is the hours worked as a tutor and e is the hours worked as an editor.

This is expressed with the inequality $$x + y ≤ 25$$ , where x is the number of dimes and y is the number of quarters.

The inequality is $$14t + 5b < 1000$$ , where t is the number of trees and b is the number of bushes.

The inequality is $$7x + 13y ≤ 81$$ , where x is the number of orders of breadsticks and y is the number of pizzas.