Question 1190454
<br>
Eight less than the product of -3 and a number is greater than -26.<br>
Translate into an equation:
"Eight less than..." --> ____ -8
"Eight less than the product of -3 and a number..." --> -3x-8
"Eight less than the product of -3 and a number is greater than -26" --> -3x-8>-26<br>
The other tutor does what nearly everybody else does -- leave the x term on the left.  That leads to solving the inequality by dividing both sides by a negative number, which switches the direction of the inequality.  No matter how experienced you are, it is easy to forget to change the direction when dividing by a negative.<br>
So avoid having to divide by a negative by rearranging the inequality so the sign on the x term is positive:<br>
-3x-8>-26
-8>3x-26
18>3x
6>x --> x<6<br>