#### • Class 11 Physics Demo

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# examples of inequalities word problems

Question:Create an example of a real-life word problem which can be solved using algebraic inequalities. Write the problem, and then solve the problem. Show the algebraic inequalities that are involved including all necessary steps taken to get the answer.

Question:the length of a picture frame is 3 in. greater than the width. The perimeter is less than 52 in. Describe the dimensions of the frame. Solve the problem by writing an inequality.

Answers:l=3+w 2l+2w<52, 2(3+w)+2w<52, 6+2w+2w<52 6+2w+2w<52 4w<46 w<23/2=11.5 then l <14.5

Question:The average length of a human pregnancy is 280 days. However, a healthy full pregancy can be 14 days longer or shorter. If d is the length in days, write an absolute value inequality for the length of a full-term pregnancy Solve the inequality for the length of a full-term pregnancy Thanks!

Answers:280 -14 < d < 280 + 14 <=> 266 < d < 294

Question:the carpentry shop makes bookcases and cabinets. each bookcase requires 15 hours of woodworking and 9 hours of finishing. the cabinets require 10 hours of woodworking and 4.5 hours of finishing. the profit is 60 dollars on each bookcase and 40 dollars on each cabinet. there are 70 hours available each week for woodworking and 36 hours available for finishing. how many of each item should be produced in order to maximize profit? what are the inequalities.

Answers:Start by organizing your information mathematically: $60=B=15W+9F$40=C=10W+4.5F 15W+9F+10W+4.5F=$100 25W+13.5F=$100 25W = 100-13.5F 36 (less than or equal to) F 70 (less than or equal to) W Profit is maximized at 7 cabinets and no bookcases.