Question

Ethan made the conjecture 5x - 7 = 13 and x = 4. Which of the following is true about his conjecture?

a) True, x = 4
b) False, x = 5
c) False, x = -4
d) False, x = 3

Answer 1

The conjecture 5x - 7 = 13 is true when x = 4.

Step-by-step explanation:

The conjecture 5x - 7 = 13 states that when x is plugged into the equation, the left side should equal the right side. In this case, x = 4 is given.

By substituting x = 4 into the equation, we can check if the conjecture is true or false:

5(4) - 7 = 13

20 - 7 = 13

13 = 13

Since the equation is true, the given condition x = 4 satisfies the conjecture. Therefore, the correct answer is a) True, x = 4.