z- 1/5 > 1/4

My answer is z < 9/20

Hmmm.

z - 1/5 > 1/4
z > 1/4 + 1/5
z > 9/20

You don't swap direction unless multiplying or dividing by a negative value. Addition and subtraction do not affect the sense of the inequality.

thank you

it is Z > 9/20

@Aaron is right.
don't swap direction unless multiplying or dividing by a negative value

To solve the inequality z - 1/5 > 1/4, we need to isolate the variable z on one side of the inequality symbol. Here's how:

Step 1: Add 1/5 to both sides of the inequality:
z - 1/5 + 1/5 > 1/4 + 1/5
z > 1/4 + 1/5

Step 2: Find the least common denominator (LCD) of 4 and 5, which is 20. To make the fractions have the same denominator, we need to multiply 1/4 by 5/5 and 1/5 by 4/4:
z > 5/20 + 4/20

Step 3: Simplify the right side of the inequality:
z > 9/20

Therefore, the solution to the inequality z - 1/5 > 1/4 is z > 9/20. Your answer, z < 9/20, is incorrect.