Answer: Based on the analysis, we can conclude that none of the given options (A, B, C, D) result in the equation having one solution.
Therefore, the correct answer is that the equation will not have one solution for any of the given options (A, B, C, D).
Explanation:
To determine when the equation will have one solution, we need to compare the coefficients of x in the equation. Let's analyze the given options (A, B, C, D).
Option A:
h = 4x - 12 = 2x - 10
In this equation, the coefficients of x on both sides are different (4 and 2). Therefore, this equation does not have one solution.
Option B:
h = 4x - 12 = -2x + 10
In this equation, the coefficients of x on both sides are different (4 and -2). Therefore, this equation does not have one solution.
Option C:
h = 4x - 12 ≠ 2x - 10
In this equation, the coefficients of x on both sides are the same (4 and 2). However, there is an inequality symbol (≠) indicating that the left side is not equal to the right side. Therefore, this equation does not have one solution.
Option D:
h = 4x - 12 ≠ -2x + 10
In this equation, the coefficients of x on both sides are the same (4 and -2). However, there is an inequality symbol (≠) indicating that the left side is not equal to the right side. Therefore, this equation does not have one solution.