Word Problems - JSS2 Mathematics Lesson Note
Linear inequalities can be used to solve word problems involving constraints or limits.
Example 1: A company produces gadgets and wants to produce at least 50 gadgets but no more than 120 gadgets each day.
Let š„ represent the number of gadgets produced each day.
Write the inequality:
50ā¤š„ā¤120
This inequality means the number of gadgets produced (š„) must be between 50 and 120, inclusive.
Example 2: A student needs to score at least 70% on the next test to pass the course. Let š„ represent the student's score.
Write the inequality:š„ā„70
This inequality means the student's score (š„) must be at least 70%.
Example 3: John has a budget of $100 to spend on groceries. He wants to buy š¦ number of items that each cost $5. How many items can he buy?
Write the inequality:5š¦ā¤100
Solve for š¦: š¦ā¤20
John can buy up to 20 items.
Example 4: A factory needs to produce at least 200 units but not more than 500 units of a product each day. Let š§ represent the number of units produced.
Write the inequality:
200ā¤š§ā¤500
This inequality means the number of units produced (š§) must be between 200 and 500, inclusive.