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 that represents the given problem is 2x - 10 ≤ 52. To solve this inequality, we will isolate the variable x.
Adding 10 to both sides of the inequality:
2x ≤ 52 + 10
2x ≤ 62
Then, dividing both sides of the inequality by 2:
(2x)/2 ≤ 62/2
x ≤ 31
So, the solution to the inequality 2x - 10 ≤ 52 is x ≤ 31.
Therefore, all possible values of the number are any real number less than or equal to 31.
Wrong
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The inequality representing the given problem is 2x - 10 ≤ 52. To solve this inequality, we will isolate the variable x.
Adding 10 to both sides of the inequality:
2x ≤ 52 + 10
2x ≤ 62
Then, dividing both sides of the inequality by 2:
(2x)/2 ≤ 62/2
x ≤ 31
So, the solution to the inequality 2x - 10 ≤ 52 is x ≤ 31.
Therefore, all possible values of the number are any real number less than or equal to 31.