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.
4. To solve Inuk's inequality, 2x - 10 ≤ 52, we first add 10 to both sides of the inequality to isolate the x term:
2x - 10 + 10 ≤ 52 + 10
2x ≤ 62
Then, we divide both sides by 2 to solve for x:
x ≤ 31
Therefore, the possible values of the number are all values less than or equal to 31.
5. To solve Helena's inequality, 4x + 53 ≥ 68, we first subtract 53 from both sides of the inequality to isolate the x term:
4x + 53 - 53 ≥ 68 - 53
4x ≥ 15
Then, we divide both sides by 4 to solve for x:
x ≥ 15/4
Therefore, Helena needs to babysit at least 15/4 (3.75) kids. Since she cannot babysit a fraction of a kid, she needs to babysit at least 4 kids.