If 2 m -41 which of the following inequalities must be true
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