Solve by multiplication principle
-2x is greater than 1/9
answer: x is greater than -1/18
- 2 x > 1/9
divide both sides by - 2 AND change direction of arrow
x < -1/18
when you multiply (divide) both sides of an inequality by a negative, you reverse the arrow
Thank you
Think about
-x > 1
that would be everything to the left of -1
Now do the algebra, multiply both sides by -1 and reverse arrow:
x < -1 sure enough
To solve the inequality -2x > 1/9 using the multiplication principle, we need to isolate the variable x by dividing both sides of the inequality by -2. However, when dividing by a negative number, we need to reverse the inequality sign.
Divide both sides of the inequality by -2:
(-2x) / -2 < (1/9) / -2
This simplifies to:
x < -(1/18)
Therefore, the solution to the inequality -2x > 1/9 is x < -(1/18), which means x is greater than -(1/18).