Use digits 0 through 9, without using a digit more than once, so that you can make the following reduce to a solution of x < -1/2
How do I do this? Please help, I am confused.
To find a solution where x < -1/2 using the digits 0 through 9 without repeating any digit, we need to form a number less than -1/2.
Here's a step-by-step explanation of how you can achieve this:
1. Consider the number -0.5. Since it is already less than -1/2, we can start with this.
2. Select a digit from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} that is not already used.
3. Append the selected digit to -0.5 (e.g., if you choose 7, the result will be -0.57).
4. Now, you have a new number that is less than -1/2. Repeat steps 2 and 3 to append more digits until you have used all the available digits (0 through 9) without repeating any.
Note: You need to ensure that the number you form by appending digits remains less than -1/2. If at any point, your number becomes greater than or equal to -1/2, you will need to start over with a different digit selection.
While there are several valid solutions, here's an example:
-0.567981234
In this case, we have appended digits 5, 6, 7, 9, 8, 1, 2, 3, and 4 to -0.5, forming a number less than -1/2.