Question 5

4x - 3 = 26 must be true.

The equation 4x - 3 = 26 can be solved to find the value of x, making it a definitive statement that must hold true under the conditions set by the equation.

A) 4x - 3 = 26

This option is correct because it is explicitly stated that this equation must be true. Solving it gives 4x = 29, leading to x = 7.25, which confirms its validity.

B) 4x - 1 = 26

This option is incorrect. If we solve 4x - 1 = 26, we get 4x = 27, leading to x = 6.75. This does not satisfy the condition set by the correct answer, hence it cannot be true.

C) 5x - 1 = 26

This option is also incorrect. Solving 5x - 1 = 26 results in 5x = 27, which gives x = 5.4. This does not align with the equation that must be true, thus it fails to hold.

D) 5x + 1 = 26

This option is incorrect as well. Solving 5x + 1 = 26 leads to 5x = 25, which gives x = 5. The result does not satisfy the original statement, making it invalid.

Conclusion

The equation 4x - 3 = 26 is definitively true, as it directly fulfills the requirement of the question. All other options present different equations that do not hold the same truth value, confirming that they are not valid under the given conditions. Thus, A stands as the only correct answer.