0<×<equal to 2
To solve the inequality 0 < x ≤ 2, we can follow these steps:
Step 1: Start with the given inequality: 0 < x ≤ 2.
Step 2: The inequality states that x is greater than 0 and less than or equal to 2. This means x can be any number between 0 and 2, including 0 but not including 2.
Step 3: To find the solutions to this inequality, we consider the range of values that satisfy the conditions. In this case, x can take any value greater than 0 and less than or equal to 2.
Step 4: So, the solution to the inequality 0 < x ≤ 2 can be written as an interval: (0, 2].
Explanation: The inequality 0 < x ≤ 2 means that x is greater than 0 but not including 0, and x is less than or equal to 2. By understanding the conditions stated in the inequality, we can find the range of values that satisfy it and represent the solution using interval notation.