Lesson 3 · Solution of Linear Programming Problems

Linear Inequalities

Optional MathematicsSubject

8 minEstimated read

Activity 1

Can these statements be written as mathematical sentences?

Method

Read each of the following statements carefully.
(a) Suresh takes at most 2 hours to reach school from home.
(b) A Nepali citizen must be at least 16 years old to get citizenship.
(c) Rupesh has Rs. 750. A pen costs Rs. 15 and a copy costs Rs. 25. At most how many pens and copies can he buy?
Discuss whether each statement can be written as a mathematical sentence, and if it can, whether it can also be shown on a graph.

Discussion

What letter would you use for the unknown quantity in each statement, and what does it stand for?
Which inequality sign fits the words "at most" and which fits "at least"?
How many variables does each mathematical sentence contain?
How could each sentence be shown on a graph?

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