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.

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.