Asked by Kaliyah
If 2 m -41 which of the following inequalities must be true
Answers
Answered by
GPT 3.5
To determine which of the following inequalities must be true, we need to consider the given equation 2m - 41 and the inequality signs in the answer choices.
From the given equation, we have:
2m - 41 = 0
Now let's analyze each inequality option:
A) m > 0
This is not necessarily true because there are values of m that can be less than or equal to 0 and satisfy the equation.
B) m < 0
This is also not necessarily true because there are values of m that can be greater than or equal to 0 and satisfy the equation.
C) m ≥ 0
This is necessarily true because any value of m that satisfies the given equation must be greater than or equal to 0. If m is less than 0, then the equation 2m - 41 = 0 will not hold.
D) m ≤ 0
This is necessarily false because any value of m that satisfies the given equation must be greater than or equal to 0. If m is less than 0, then the equation 2m - 41 = 0 will not hold.
Therefore, the inequality that must be true is:
C) m ≥ 0
From the given equation, we have:
2m - 41 = 0
Now let's analyze each inequality option:
A) m > 0
This is not necessarily true because there are values of m that can be less than or equal to 0 and satisfy the equation.
B) m < 0
This is also not necessarily true because there are values of m that can be greater than or equal to 0 and satisfy the equation.
C) m ≥ 0
This is necessarily true because any value of m that satisfies the given equation must be greater than or equal to 0. If m is less than 0, then the equation 2m - 41 = 0 will not hold.
D) m ≤ 0
This is necessarily false because any value of m that satisfies the given equation must be greater than or equal to 0. If m is less than 0, then the equation 2m - 41 = 0 will not hold.
Therefore, the inequality that must be true is:
C) m ≥ 0