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?
Inuk wrote the inequality correctly to represent the problem statement "ten less than twice a number is equal to at most 52." The inequality should actually be:
2x - 10 ≤ 52
The ≤ sign is used to capture "at most 52," including 52 itself.
Now, let's solve the inequality:
2x - 10 ≤ 52
First, add 10 to both sides to isolate the term with x on one side:
2x - 10 + 10 ≤ 52 + 10
2x ≤ 62
Next, divide both sides by 2 to solve for x:
2x / 2 ≤ 62 / 2
x ≤ 31
The solution to the inequality is x ≤ 31. This means that x can be any number less than or equal to 31. So the possible values of the number can be 31, 30, 29, ..., and so on, all the way down to negative infinity. All these numbers satisfy the original problem statement.