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

The inequality 2x - 10 ≤ 52 represents the statement "Ten less than twice a number is equal to at most 52."

To solve this inequality, we can add 10 to both sides to isolate the x-term:

2x - 10 + 10 ≤ 52 + 10

Simplifying:

2x ≤ 62

Finally, we can divide both sides by 2 to solve for x:

x ≤ 62/2

x ≤ 31

Therefore, the possible values of the number are any real number less than or equal to 31.