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.
The inequality 2x - 10 ≤ 52 means that "twice a number, decreased by ten, is less than or equal to 52."
To solve this inequality, first, add 10 to both sides to isolate the 2x term:
2x - 10 + 10 ≤ 52 + 10
2x ≤ 62
Then, divide both sides by 2 to solve for x:
2x/2 ≤ 62/2
x ≤ 31
So, the possible values of the number are all values less than or equal to 31.