-2x> 1/9
This is multiplication
-2/1 +1/2x > 1/9 +1/2
{x|x < 1/11
Is this correct?
1/9 / -2
1/9 x -1/2
x < -1/18
-2x> 1/9
divide by 2
-x > 1/18
multiply by -1 and change direction of arrow
x < -1/18
To solve the inequality -2x > 1/9, you need to isolate the variable x. Here's the step-by-step explanation:
1. Multiply both sides of the inequality by -1/2 to eliminate the coefficient -2 on the left side:
(Remember that when you multiply or divide an inequality by a negative number, you need to flip the direction of the inequality.)
-1/2 * -2x < -1/2 * (1/9)
2. Simplify both sides of the inequality:
x < (-1/2) * (1/9)
3. Multiply -1/2 by 1/9:
x < -1/18
So, the correct solution to the inequality -2x > 1/9 is x < -1/18, not x < 1/11 as you mentioned.