Amy thinks the answer to the inequality negative 5X - 12 is less than or equal to 18 is X less than or equal to - 6. Bryan thinks the answer is X greater than or equal to - 6. Decide who is correct. Explain your thinking.

Amy is correct in her answer.

Step-by-step explanation:

Here, the given expression is:

5X - 2 ≤ 18

The answer quoted by Amy = X ≤ - 6

⇒ Possible values of X = - 6, - 7, - 8, - 9, - 10, ...

The answer quoted by Bryan = X ≥ - 6

⇒ Possible values of X = - 6, - 5, - 4, - 3, - 2, ..., 4, 5, 6, 7 ...

Now, simplifying the given inequality,

5X - 2 ≤ 18 ⇒ 5X - 2 + 2 ≤ 18 + 2

or, 5X ≤ 20

or, X ≤ 20/5 = 4

⇒ X ≤ 4

Hence, the possible values of X = 4, 3, 2, 1, 0, - 1, - 2, ...

So, from above answers, X ≤ - 6 is the most appropriate answer

as here, all possible values of x are less than 4.

Hence, Amy is correct in her answer.