Monday, September 2, 2013

Linear Inequalities: Application

a.   The weight of a stone is x kg. Half of its weight is greater than or equal to 40 kg. Find the weight of the stone. 

b.   Ms. Garcia’s monthly salary x is less than the sum of half of her salary and Php30 000. Find Ms. Garcia’s monthly salary.

c.   The sum of two consecutive integers is greater than 41. Give the least value of the smaller number. 

d.   Sam and his son joined Autism Society, Philippines’ Walk For A Cause. The Walk requires that the participant’s age is at least 18 years old. Sam is twice as old as his son. If the sum of their ages is greater than 60, what is the least possible age of his son in years? Can they take part in the Walk? 

e.   (Solve in quadrants. For this problem, a table would be a big help.) The length of a wire is at most 62 cm. It is bent to form a rectangle whose length is 7 cm longer than its width. What is the maximum area of the rectangle? 

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