Question

|6m-54|, if m<9 help rsm

Answer 1

|6m-54| ≥ 0

Explanation:

Given: m<9 = m is less than 9

Solution:

|6m-54| > 0 is partially right, instead of just a regular sign of >. It should be ≥. Simply the answer is |6m-54| ≥ 0.

[BTW. I go to RSM too.]

Answer 2

`|6m - 54| \: > \: 0`

Explanation:

Let

`y = |6m - 54|`

We can factor 6 to get:

`y = 6 |m - 9|`

This is the graph an absolute value function that opens upwards.

The vertex is at (0,9)

The range is

`y \geqslant 0`

For m<9, the graph is always above the x-axis.

Therefore for m<9,

`|6m - 54| \: > \: 0`