Question

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 1

Start with Inuk’s inequality:
2x − 10 ≤ 52

Add 10 to both sides:
2x ≤ 62

Divide both sides by 2:
x ≤ 31

So all possible values of the number are x ≤ 31 (in interval notation: (−∞, 31]).