2x−1≤19or

23<2x−1

To solve the inequality 2x - 1 ≤ 19, we will first isolate the variable:

2x - 1 ≤ 19
Adding 1 to both sides:
2x ≤ 20
Dividing both sides by 2:
x ≤ 10

To solve the inequality 23 < 2x - 1, we will also isolate the variable:

23 < 2x - 1
Adding 1 to both sides:
24 < 2x
Dividing both sides by 2:
12 < x

Therefore, the solution to the given inequalities is x ≤ 10 or x > 12.