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. X is less than or equal to is not the answer

5 answers

To solve the inequality 2x-10 ≤ 52, we can isolate the variable x:
2x - 10 ≤ 52
2x ≤ 62
x ≤ 31

Therefore, the possible values of the number (x) are any number less than or equal to 31.
Wrong
Apologies for the incorrect response in the previous message. Let's solve the inequality correctly.

The inequality given is 2x - 10 ≤ 52.

To isolate x, we'll undo the subtraction and multiplication:

2x - 10 + 10 ≤ 52 + 10
2x ≤ 62

Lastly, we divide both sides of the inequality by 2:

2x/2 ≤ 62/2
x ≤ 31

Therefore, the possible values of the number x are any number less than or equal to 31.
Its not x ≤ 31, still wrong
Apologies again for the mistake. Let's correct our solution.

To solve the inequality 2x - 10 ≤ 52, we will isolate the variable x:

2x - 10 ≤ 52

First, we add 10 to both sides of the inequality:

2x - 10 + 10 ≤ 52 + 10
2x ≤ 62

Next, we divide both sides of the inequality by 2:

(2x)/2 ≤ 62/2
x ≤ 31

The correct answer is x ≤ 31.

This means that all values of x which are less than or equal to 31 satisfy the inequality.