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.

Question

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

Inuk's inequality is written as:

2x − 10 ≤ 52

To solve for x, we first aim to isolate x on one side of the inequality. Here's how to do it step by step:

1. Add 10 to both sides of the inequality to cancel out the -10 on the left side.
2x − 10 + 10 ≤ 52 + 10
2x ≤ 62

2. Now, divide both sides of the inequality by 2 to solve for x.
(2x) / 2 ≤ 62 / 2
x ≤ 31

The inequality x ≤ 31 means that the number x can be 31 or any number less than 31. This is the set of all possible values for the number x given the original problem.

Answer 2

it says that answer is wrong

Answer 3

My apologies for any confusion. Let's re-evaluate the solution.

Given the inequality:

2x − 10 ≤ 52

Solving for x:

1. First, we add 10 to both sides to cancel out the -10 on the left side:

2x − 10 + 10 ≤ 52 + 10
2x ≤ 62

2. Then, divide both sides by 2 to isolate x:

2x / 2 ≤ 62 / 2
x ≤ 31

This gives us the solution that x can be any number less than or equal to 31. This is the correct solution based on the given inequality, which means x could be 31, or any value smaller than 31, including whole numbers, fractions, and negative numbers.

If there is still an issue with the answer, please ensure that the problem has been posed correctly and that no additional conditions or constraints were given. If you are entering this into an automated system, it could be looking for a specific format, so you might try including the inequality operator:

x ≤ 31

Or providing more context like "x can be any real number less than or equal to 31". If you have additional requirements or there is further context, please provide it for a more tailored response.

Answer 4

To solve the inequality, we can follow the steps below:

Step 1: Start with the given inequality:
2x - 10 ≤ 52

Step 2: Add 10 to both sides of the inequality to isolate the x term:
2x - 10 + 10 ≤ 52 + 10
2x ≤ 62

Step 3: Divide both sides of the inequality by 2 to solve for x:
(2x) / 2 ≤ 62 / 2
x ≤ 31

So, the solution to the inequality is x ≤ 31.