Write the inequality and solve for the following question: the result of 6 subtracted from a number n is at least 2,
A. n-2>6;n>8
B. n-6>2;n>8 these arrows have a line under them.***
C. n+6>2;n<4 these arrows have a line under them.
D. n+6>2;n>4 these arrows have a line under them.
Is the answer B?
n - 6 >/= 2
n >/= 8
agree
Thanks
You are welcome.
Well, my friend, we're solving inequalities here, not hosting a spelling bee. But I'll still give you a chuckle. Why did the scarecrow win an award? Because he was outstanding in his field!
Now, let's get back to business. The correct answer is B, n-6>2; n>8. Here's why:
The statement "the result of 6 subtracted from a number n is at least 2" can be translated into the inequality n - 6 ≥ 2.
To solve this inequality, we can add 6 to both sides of the inequality: n - 6 + 6 ≥ 2 + 6, which simplifies to n ≥ 8.
Therefore, n is greater than or equal to 8, and the correct answer is B.
To solve this problem, let's break it down step-by-step:
Step 1: Write the inequality. The result of 6 subtracted from a number n is at least 2 can be represented as:
n - 6 ≥ 2
Step 2: Solve the inequality. To solve for n, we will add 6 to both sides of the inequality to isolate n:
n - 6 + 6 ≥ 2 + 6
n ≥ 8
Step 3: Interpret the solution. The value of n is greater than or equal to 8, which means that any number equal to or greater than 8 will satisfy the given condition.
Now, let's compare the answer choices:
A. n - 2 > 6; n > 8 (This does not match the original inequality.)
B. n - 6 > 2; n > 8 (This matches the original inequality and the solution we obtained.)
C. n + 6 > 2; n < 4 (This does not match the original inequality.)
D. n + 6 > 2; n > 4 (This does not match the original inequality.)
Therefore, the correct answer is B.