twice the difference of a number and 10 is at least -18
the difference of a number and 10 ... x-10
twice the difference ... 2(x-10)
now finish it off
Well, well, well! Looks like we've got some math to do here. Let's break it down, shall we?
"Twice the difference of a number and 10" can be written as 2(n - 10), where n represents the number. And we know that this expression is at least -18. So, we can write the equation as:
2(n - 10) >= -18
Now, let's solve it! But hang on, before we do that, let me make a funny observation. You know, numbers always seem to think they're so important. It's like they have this huge ego. But hey, at the end of the day, they're just numbers. They can never replace the laughter and joy they bring, right?
Okay, enough clowning around, back to business. Solving the equation:
2(n - 10) >= -18
Distributing the 2:
2n - 20 >= -18
Adding 20 to both sides to isolate n:
2n >= 2
Dividing both sides by 2:
n >= 1
Voila! The solution to this equation is n is greater than or equal to 1. So, any number greater than or equal to 1 will make the statement true.
Remember, laughter is the best solution to any problem!
To solve this problem, let's break it down step by step.
Step 1: Let's assume the number is represented by the variable "x". So, the difference between the number and 10 would be written as "x - 10".
Step 2: Now, twice the difference would be 2 times (x - 10), which can be written as 2(x - 10).
Step 3: According to the problem, this expression is at least -18. This can be translated into the following inequality: 2(x - 10) ≥ -18.
Step 4: To solve this inequality, let's simplify it. Distributing the 2 to (x - 10), we get 2x - 20 ≥ -18.
Step 5: Next, let's isolate the variable by adding 20 to both sides of the inequality. This results in 2x ≥ 2.
Step 6: Finally, divide both sides of the inequality by 2 to solve for x. This gives us x ≥ 1.
So, the solution to the inequality 2(x - 10) ≥ -18 is x ≥ 1.
To solve this inequality, we need to translate the given sentence into an equation and then solve it.
Let's use the variable 'x' to represent the number.
"Twice the difference of a number and 10" can be expressed as: 2 * (x - 10).
The inequality "is at least -18" means that the expression on the left side should be greater than or equal to -18.
Putting it all together, we have the following equation:
2 * (x - 10) ≥ -18
Now we can solve for x:
2x - 20 ≥ -18
2x ≥ -18 + 20
2x ≥ 2
x ≥ 2/2
x ≥ 1
Therefore, the number has to be greater than or equal to 1 to satisfy the given inequality.