1/5x − 3/5 ≤ 2/5

Question

put the answer on a number line

Answer 1

To represent the inequality on a number line, we first solve it.

1/5x - 3/5 ≤ 2/5

To remove the fractions, we can multiply both sides of the inequality by the least common denominator (LCD), which is 5:

5 * (1/5x - 3/5) ≤ 5 * (2/5)
x - 3 ≤ 2
x ≤ 2 + 3
x ≤ 5

Now, we can represent this inequality on a number line.

To do this, draw a horizontal line and mark a point at 5. Since the inequality is inclusive of 5 (x ≤ 5), we can use a solid dot to represent it. Then, draw an arrow towards the left side of the number line, indicating that all values less than or equal to 5 are part of the solution.

The number line should look like this:

<---|--5---o--->
-∞ 5