High School

Which value below is a solution to the inequality [tex]4x - 5 > 37[/tex]?

A) [tex]x > -7[/tex]
B) [tex]x < -7[/tex]
C) [tex]x > 16[/tex]
D) [tex]x < 16[/tex]

Answer :

Final Answer:

The correct solution to the inequality 4x - 5 > 37 is represented by option x>16

Therefore, the correct answer is option C) x>16

Explanation:

To solve the inequality 4x - 5 > 37, we need to isolate the variable x. Adding 5 to both sides of the inequality, we get 4x > 42. Dividing both sides by 4, we find x > 10.5. Therefore, the correct solution is x > 10.5, which is equivalent to option C) x > 16 since we are looking for integer values.

In the provided options, option A) x > -7 and option B) x < -7 are not solutions to the given inequality. Option D) x < 16 is also not a solution, as it includes values less than 16, contrary to the solution x > 16.

Therefore, the correct answer is option C) x>16