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What is the maximum number of times he can go to the driving range next month? If they charge $5 per car, how many cars must they wash in order to have enough money to pay for the trip? What is the maximum number of people Daniel can have at the party? 2.5 Solve Linear Inequalities - Intermediate Algebra 2e | OpenStax. Remember: you must flip the inequality sign when you multiply or divide by a negative number. Therefore, T contains all of the values of x that are greater than -5/2, or -2. Alan is loading a pallet with boxes that each weighs 45 pounds. Move all terms not containing to the right side of the inequality. Sergio and Lizeth have a very tight vacation budget.
What is the maximum number of packs she can buy? Provide step-by-step explanations. They can earn the rest of the money they need by having a car wash. But n must be a whole number of tablets, so round to 15. How many lawns must he mow to have enough money to pay for the trip?
How many guests can attend if Penny wants the total cost to be no more than $1, 500? Xy (5y + 5x)/z is also equivalent because it is only simplifying what is inside the parentheses and switching the order- the commutative property tells us this is still the same expression. Graph each inequality on the number line and write in interval notation: Solve Linear Inequalities. It will cost $300 to rent the equipment to make the pizzas and $2 worth of ingredients to make each pizza. Next, we will identify what we are looking for and assign a variable to represent it. He has $840 in savings, and he earns $45 per hour for tutoring. The Spanish club wants to make and sell some pizzas for a fundraiser. Choose a variable to represent it. 2 shows some common phrases that indicate inequalities. What is the solution to the inequality |2n+5|>1 2 - Gauthmath. The cost of airfare plus the cost of food and sightseeing and the hotel bill must be less than the savings plus the amount earned tutoring.
The question asks us to find the sum of the integers in the intersection of S and T. This means we must find all of the integers between -2. Translate Write a sentence that gives the information to find it. Write a sentence that answers the question. What is the solution to the inequality 2n 5 1 15. This activity allows students to practice solving equations while the activity records their score, so they can track their progress. Here we need to show that one is a solution, too. The statement is false. Algebra Four: In this activity, two students play a simulated game of Connect Four, but in order to place a piece on the board, they must correctly solve an algebraic equation.
The number of invitations Felicity needs to write|. She is planning an anniversary party for her parents. He has $189 in savings and can earn $35 for each lawn he mows. Wedding budget Adele and Walter found the perfect venue for their wedding reception. What is the solution to the inequality 2n+5 1. It will cost them $110 for registration, $375 for transportation and food, and $42 per person for the hotel. A parenthesis at −1. Add this to the cost to rent the equipment and the cost will be. Noe installs and configures software on home computers. Angie has $20 to spend on juice boxes for her son's preschool picnic. Malik is planning a six-day summer vacation trip.
There is no lower end to those numbers. Four more than a is at most 15. What is the solution to the inequality 2n 5.1.2. Brenda's best friend is having a destination wedding and the event will last three days. Example Question #10: How To Find The Solution To An Inequality With Division. Lastly, we add up the values -2, -1, 0, and 1. Daniel wants to surprise his girlfriend with a birthday party at her favorite restaurant. A linear inequality is much like a linear equation—but the equal sign is replaced with an inequality sign.
His budget for the party is $500. Ⓑ After looking at the checklist, do you think you are well-prepared for the next section? In order to find the solution set, we solve as we would an equation: Therefore, the solution set is any value of. Describe the steps you would use to solve the inequality.
Each pack of juice boxes costs $2. Keshad gets paid $2, 400 per month plus 6% of his sales. Check the answer in the problem and make sure it makes sense. Negative number, the inequality reverses. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the Java applet. The number of hours Malik must tutor|. She expects to pay $350 airfare, $375 for food and entertainment and $60 a night for her share of a hotel room. Question sets vary with each game, so feel free to play the game multiple times as needed! 5 and 2 are the following: -2, -1, 0, and 1. The expenses must be less than or equal to the income. He has budgeted $60 next month for the driving range. Then graph the solution on the number line and write the solution in interval notation. SOLVED: What is the solution to the inequality |2n+5| > 1. What should the maximum number of people of this weight have been? Timed Algebra Quiz: In this timed activity, students solve linear equations (one- and two-step) or quadratic equations of varying difficulty depending on the initial conditions they select.
Subtract 3 from both sides. Divide both sides by -2. There is no upper end to the solution to this inequality. Solution in Interval Notation. Apply the distributive property. Multiply both sides by the LCD, 24, to clear the fractions. Moshde runs a hairstyling business from her house. She would like to invite 40 guests. Step 4: Solve the Positive Case. If the average weight of one person is 150 pounds, how many people can safely ride the elevator? Solved by verified expert. Step by Step Solution.