Word Problems on Systems of Linear Inequalities in Two Variables
In some instances, a problem requires the use of a linear inequality or a system of linear inequalities in two variables. These problems involve statements that should be translated first into inequalities before they can be solved.
The following table shows examples of these statements:
Translations of Verbal Statements to Inequalities
| Statement | Translation |
|
A student's average grade in the academic subjects is at least 85%.
(x = student's average grade in the academic subjects)
|
|
|
Andy's weight is more than 75 kg.
(W = Andy's weight)
|
|
|
Mrs. Manoling's monthly salary is at most ₱40,000.
(S = Mrs. Manoling's monthly salary)
|
|
| The difference between two numbers x and y is no less than 15. | |
|
The number of students in a class is less than 35.
(N = number of students in a class)
|
