To determine if -4x - 6 is less than or equal to -7x, we can set up an inequality:

-4x - 6 ≤ -7x

Now we can solve for x:

Add 7x to both sides:

3x - 6 ≤ 0

Add 6 to both sides:

3x ≤ 6

Divide by 3:

x ≤ 2

Therefore, the solution to the inequality is x is less than or equal to 2.