Solve the inequality

Question

-4-2x (less than or equal to symbol) -6(-3x-8)-7x

Answer 1

-4-2x ≤ -6(-3x-8)-7x

 

First, DISTRIBUTE on right side and collect like terms.

 

Then decide which side upon which to collect all of the x-related terms, choosing such that the coefficient of x is POSITIVE.  Collect all 'loose' constants on the opposite side from where you collected the x's.

 

next, divide out the coefficient of x. You may get something like this example:

    14 ≤ 9t so in this you would get 14/9 ≤ t which you read, from RIGHT TO LEFT, as t ≥ 14/9. 

   This tactic avoids the troublesome division by a negative coefficient.  END OF HINTS.