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 a equals the number, to help solve this problem. Solve his inequality. Use the letter as your variable and write your a term first.
To solve the inequality 2x - 10 < 52, we will isolate the variable x.
Adding 10 to both sides of the inequality, we have:
2x - 10 + 10 < 52 + 10
Simplifying:
2x < 62
Next, we divide both sides of the inequality by 2:
2x/2 < 62/2
Simplifying:
x < 31
So, the solution to the inequality is x < 31.
Therefore, all possible values of the number (x) that satisfy the original statement "Ten less than twice a number is equal to at most 52" are any value less than 31.