1. Ten less than twice a number is equal to at least 52. What are all the possible values of the number? Write an inequality that could be used to solve this problem. Use the letter x as the variable, and write the inequality so that the x term comes first.
2.The sum of 11 and three-fourths of a number is less than 112. What are all the possible values of the number? Write an inequality that could be used to solve this problem. Use the letter x as the variable, and write the inequality so that the x term comes first. Where necessary, write numbers as fractions (rather than decimals).
3.Grace will receive $50 plus $5 per child for babysitting this afternoon. She is hoping to make at least $63 to buy a new video game tonight. How many children does she need to babysit? Write an inequality that could be used to solve this problem. Use the letter x as the variable, and write the inequality so that the x term comes first.
4.Ten less than twice a number is equal to at most 52. What are all the possible values of the number? Inuk wrote the inequality 2x−10≤52, where x equals the number, to help solve this problem. Solve his inequality. Use the letter x as your variable and write your x term first.
5.Helena will receive $53 plus $4 per kid for babysitting this afternoon. She is hoping to make at least $68. How many kids does she need to babysit? She writes the inequality 4x+53≥68, where x equals the number of kids, to help figure this out. Solve her inequality. Use the letter x as your variable and write your x term first.
3 answers
1. 2x - 10 ≥ 52
2. 3/4x + 11 < 112
3. 5x + 50 ≥ 63
4. 2x - 10 ≤ 52
5. 4x + 53 ≥ 68