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A set of algebraic inequality problems to be solved. Students are required to read the problem carefully, write a let statement, determine the appropriate symbol (<, >, =, or none), and solve the inequality. various examples and prompts for finding possible values, graph representations, and translating verbal expressions into algebraic inequalities.
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Name_____________________________________________________ Period: __________
Represent each of the following as an algebraic inequality.
x is at most 30 ___________________
the sum of 5x and 2x is at least 14 ___________________
the product of x and y is less than or equal to 4 ___________________
5 less than a number y is under 20 ___________________
If 5 times a number is increased by 4, the result is at least 19. Find the least possible number that satisfies these conditions.
The sum of twice a number and 5 is at most 15. What are the possible values for the number?
The cost of a gallon of orange juice is $3.50. What is the maximum number of containers you can buy for $15?
Three times a number increased by 8 is no more than the number decreased by 4. Find the number.
Two-thirds of a number plus 5 is greater than 12. Find the number.
(4) Kathy swam 3 laps in the pool this week. She must swim more than 12 laps.
The sum of a number and 81 is greater than the product of 3 and that number. What are the possible values for the number?
Four times a number is greater than 48. What are the possible values for the number?