Twice the difference of a number and 6 is less than -27
this isn't the right answer
Let's break down the given statement step by step:
1. Let's assume the unknown number as "x".
2. "The difference of a number and 6" can be written as "x - 6".
3. "Twice the difference of a number and 6" can be written as "2(x - 6)" or "2x - 12".
4. The given statement states that "Twice the difference of a number and 6 is less than -27", which can be represented as:
2x - 12 < -27
5. Now, we can solve the inequality for x:
2x < -27 + 12
2x < -15
x < -15/2
Therefore, the solution to the given inequality is x < -15/2.
To solve this problem, we need to translate the given information into an equation.
Let's start by assuming the unknown number as 'x'.
The difference between a number and 6 can be expressed as (x - 6).
Twice the difference of a number and 6 is then represented as 2 * (x - 6).
According to the problem, this expression is less than -27.
Therefore, we can write the inequality as:
2 * (x - 6) < -27
To find the solution, let's solve this inequality step by step:
1. Distribute the 2 to both terms inside the parentheses:
2x - 12 < -27
2. Add 12 to both sides of the inequality to isolate the variable term:
2x - 12 + 12 < -27 + 12
2x < -15
3. Divide both sides of the inequality by 2 to solve for x:
(2x) / 2 < (-15) / 2
x < -7.5
Therefore, the solution to the given inequality is x < -7.5.
"the difference of a number and 6" means x-6
twice that is 2(x-6)
now finish it off