Question

Solve the inequality –24 ≤ x – 3 – 8x.

Answer 1

Combine like terms:   –24 ≤ x – 3 – 8x   =>   -24 + 3  ≤  x - 8x, or
                                                                           -21    ≤ -7x

Solve for x.  Very important:  If we divide an inequality by a negative number, we must change the direction of the inequaltiy sign:

-21
----- $\geq$ x,  or 3 $\geq$ x
 - 7