SOLVE USING ADDITION AND MULTIPLICATION PRINCIPLE 6X-7<-25

6 x - 7 < -25 add 7 to both sides

6 x - 0 < -18
or
6 x < -18 divide both sides by 6

x < -3

6X-7<-25

6x < -25 + 7

6x < -18
x < -3

6 x < -18 divide both sides by 6

or multiply both sides by 1/6
to stick to the ground rule.

-8 + x = -24

To solve the inequality 6x - 7 < -25 using addition and multiplication principles, we need to isolate the variable x on one side of the inequality symbol.

Step 1: Start by adding 7 to both sides of the inequality to eliminate the negative constant term:
6x - 7 + 7 < -25 + 7
6x < -18

Step 2: Next, divide both sides of the inequality by 6 to isolate the variable x:
(6x)/6 < (-18)/6
x < -3

Therefore, the solution to the inequality 6x - 7 < -25 is x < -3.