solve 2/5x - 4/5 > 1 1/5 but the > has a line underneath it
To solve the inequality 2/5x - 4/5 ≥ 1 1/5 when the ≥ sign has a line underneath it (meaning "greater than or equal to"), we need to convert the fractions to a common denominator and then solve for x.
First, let's convert 1 1/5 to an improper fraction:
1 1/5 = (5 * 1 + 1) / 5 = 6/5
Now, let's find a common denominator for the fractions 2/5 and 4/5. The denominator 5 works for both fractions.
2/5x - 4/5 ≥ 6/5
Next, multiply both sides of the inequality by 5 to eliminate the denominators:
5 * (2/5x - 4/5) ≥ 5 * (6/5)
2x - 4 ≥ 6
Now, add 4 to both sides of the inequality:
2x - 4 + 4 ≥ 6 + 4
2x ≥ 10
Finally, divide both sides of the inequality by 2 to solve for x:
(2x)/2 ≥ 10/2
x ≥ 5
Therefore, the solution to the inequality when the ≥ sign has a line underneath it is x ≥ 5.