Awrestler is required to keep his weight at a maximum of w pounds in order to be eligible for competition. jordan likes to be at least five pounds lighter than w. if x represents jordan's ideal weight, which inequality is correct?

w - 5 = x

Step-by-step explanation:

I cannot see the answer choices, but this is what I would think. It is a simple inequality.

w is the maximum weight.

If Jordan wants to be 5 pounds LIGHTER than w, it would be w - 5.

w - 5 is Jordan's ideal weight.

Therefore, w - 5 = x.

I hope I was helpful!!

Both A and B are true identities

Step-by-step explanation:

A. N ( n − 2 ) ( n + 2 ) = n 3 − 4 n

We need to show that (left-hand-side)L.H.S = R.H.S (right-hand-side)

So,

 n ( n − 2 ) ( n + 2 ) = n(n² - 2²)     (difference of two squares)

                               = n³ - 2²n       (expanding the brackets)

                               = n³ - 4n         (simplifying)

So,                L.H.S  = R.H.S

B. ( x + 1 )² − 2x + y² = x² + y² + 1

We need to show that (left-hand-side)L.H.S = R.H.S (right-hand-side)

So,

( x + 1 )² − 2x + y² = x² + 2x + 1 - 2x + y²   (expanding the brackets)

                             = x² + 2x - 2x + 1  + y²   (collecting like terms)

                             = x² + 1 + y²        

                             = x² + y² + 1                    (re-arranging)

So,              L.H.S  = R.H.S

So, both A and B are true identities since we have been able to show that L.H.S  = R.H.S in both situations.