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. Do not solve the inequality.

Answer 1

2x - 10 ≥ 52

Answer 2

he 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). Do not solve the inequality.

Answer 3

11 + (3/4)x < 112

Answer 4

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. Do not solve the inequality.

Answer 5

5x + 50 ≥ 63

Answer 6

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.

Answer 7

To solve the inequality 2x - 10 ≤ 52, we need to isolate x by undoing the operations one by one.

First, we add 10 to both sides of the inequality to get:
2x - 10 + 10 ≤ 52 + 10
2x ≤ 62

Next, we divide both sides of the inequality by 2 to get:
2x/2 ≤ 62/2
x ≤ 31

So the solution to the inequality is x ≤ 31. Therefore, the possible values for the number are any real number less than or equal to 31.

Answer 8

Helena will receive $53 plus $4 per kid for babysitting this afternoon. She is hoping to make at least $69. How many kids does she need to babysit? She writes the inequality 4x+53≥69 , 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.

Answer 9

To solve the inequality 4x + 53 ≥ 69, we need to isolate x by undoing the operations one by one.

First, we subtract 53 from both sides of the inequality to get:
4x + 53 - 53 ≥ 69 - 53
4x ≥ 16

Next, we divide both sides of the inequality by 4 to get:
4x/4 ≥ 16/4
x ≥ 4

So the solution to the inequality is x ≥ 4. Therefore, Helena needs to babysit at least 4 children to make at least $69.