practice\nwrite an inequality for each problem. then, solve the inequality.\n1. maria wants to buy tickets…
practice\nwrite an inequality for each problem. then, solve the inequality.\n1. maria wants to buy tickets to a concert. how many $12 tickets\ncan she buy if she wants to spend less than $48.00?\n2. chris decides to wash cars to earn money for a ski trip. he\ncharges $20.00 per car. how many cars will he have to wash to\nearn at least $300.00?\n3. jason has to write a report that is at least 15 pages long. he has written\n7 pages already. how many more pages will he need to write?
Answer
1. Maria's problem
Explanation:
Step1: Set up the inequality
Let (x) be the number of tickets. The cost of (x) tickets is (12x). Since she wants to spend less than (48), the inequality is (12x<48).
Step2: Solve the inequality
Divide both sides of the inequality (12x < 48) by (12). Using the property of inequalities (\frac{12x}{12}<\frac{48}{12}).
Answer:
The inequality is (12x < 48) and the solution is (x < 4). Since (x) represents the number of tickets (a non - negative integer), (x = 0,1,2,3).
2. Chris's problem
Explanation:
Step1: Set up the inequality
Let (y) be the number of cars. The money he earns from washing (y) cars is (20y). Since he wants to earn at least (300), the inequality is (20y\geq300).
Step2: Solve the inequality
Divide both sides of the inequality (20y\geq300) by (20). Using the property of inequalities (\frac{20y}{20}\geq\frac{300}{20}).
Answer:
The inequality is (20y\geq300) and the solution is (y\geq15).
3. Jason's problem
Explanation:
Step1: Set up the inequality
Let (z) be the number of additional pages. The total number of pages is (z + 7). Since the report should be at least (15) pages long, the inequality is (z+7\geq15).
Step2: Solve the inequality
Subtract (7) from both sides of the inequality (z + 7\geq15). Using the property of inequalities (z+7-7\geq15 - 7).
Answer:
The inequality is (z + 7\geq15) and the solution is (z\geq8).