1)
Write an inequality for the following: 5 less than 2 times a number is greater than 7.
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2)
Write and solve an inequality for the following: 6 more than the sum of a number and 4 is less than 25.
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3)
Jacob wants to buy a new video game. Store A is selling the game online for 15% off plus free shipping. Store B is selling the game online for 30% off but charges 3.95 shipping. What would the regular price of the video game have to be for store A to have the better deal? Round to the nearest penny.
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4)
What is the domain for problem #3?
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5) Josie can produce g number of gadgets each hour at her factory job. The boss would like her to make a minimum of 50 gadgets per hour. Write an inequality that represents this situation. Let x = the number of hours worked.
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6)
Mrs. Smith needs to purchase supplies for her new classroom. She purchases n notebooks and b binders for each student. If she buys over 100 items, she will get a discount. Write the inequality that represents this problem so that Mrs. Smith will get a discount on her purchase. Let x = the number of students.
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7)
Juan’s boss has asked him to enter data for at least 60 spreadsheets. He has given him a deadline of 1 week (5 work days). Juan is already ahead because he completed 2 of them this past week before the boss made the deadline. How many spreadsheets will he need to complete each day to meet the deadline? Write the inequality that represents this problem.
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8)
Malik wants to put down a tile border around his new pool. Due to the expense of the pool, he only has $600 left to spend. If tiles cost $5 each, what is the most number of tiles can he afford to purchase? Write the inequality.
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9)
Solve the inequality for #8.
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10)
Give the domain and range for the problem in #8.
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