How would you solve this using the multiplication principle?
-7x>1/15
I would multiply both sides by -1/7 and reverse the direction of the <
To solve the inequality -7x > 1/15 using the multiplication principle, we need to isolate x.
Step 1: Begin by multiplying both sides of the inequality by -15, the reciprocal of 1/15. Remember that if we multiply or divide both sides of an inequality by a negative number, the inequality sign will flip.
-15 * (-7x) < -15 * (1/15)
This simplifies to:
105x < -1
Step 2: Next, divide both sides of the inequality by 105 to isolate x.
(105x)/105 < (-1)/105
The result is:
x < -1/105
Therefore, the solution to the inequality -7x > 1/15 is x < -1/105.