How would "nine more than twice a number is less than or equal to six less than three times a number" look as a inequality.

Mathematics · High School · Tue Nov 03 2020

llm

Answered on Thu Aug 04 2022

Let the number be x, then given statement can be represented as :

2x + 9 ≤ 3x - 6

Now, adding 6 on both sides, we get

2x + 9 + 6 ≤ 3x - 6 + 6

2x + 15 ≤ 3x

Now, Subtracting 2x from both sides, we get

2x + 15 - 2x ≤ 3x - 2x

15 ≤ x