2/5x - 4/5 ≥ 1 1/5

1 answer

To solve the inequality, you need to isolate the variable "x" on one side of the inequality sign.

2/5x - 4/5 ≥ 1 1/5

First, add 4/5 to both sides to get rid of the negative term:

2/5x - 4/5 + 4/5 ≥ 1 1/5 + 4/5

This simplifies to:

2/5x ≥ 5/5

2/5x ≥ 1

Next, multiply both sides by the reciprocal of 2/5 (which is 5/2) to isolate the x term:

(5/2)(2/5)x ≥ (5/2)(1)

This simplifies to:

x ≥ 5/2

Therefore, the solution to the inequality is x ≥ 5/2.