Which of the first 10 natural numbers is NOT a solution of 5x−1≠9 ?(1 point)

1 answer

To find out which of the first 10 natural numbers is NOT a solution of the inequality 5x - 1 ≠ 9, we need to solve the inequality for each number and see if it holds true.

Let's go through each of the first 10 natural numbers:

1. For x = 1: 5(1) - 1 ≠ 9
5 - 1 ≠ 9
4 ≠ 9
This is true, so 1 is a solution.

2. For x = 2: 5(2) - 1 ≠ 9
10 - 1 ≠ 9
9 ≠ 9
This is false, so 2 is not a solution.

3. For x = 3: 5(3) - 1 ≠ 9
15 - 1 ≠ 9
14 ≠ 9
This is true, so 3 is a solution.

4. For x = 4: 5(4) - 1 ≠ 9
20 - 1 ≠ 9
19 ≠ 9
This is true, so 4 is a solution.

5. For x = 5: 5(5) - 1 ≠ 9
25 - 1 ≠ 9
24 ≠ 9
This is true, so 5 is a solution.

6. For x = 6: 5(6) - 1 ≠ 9
30 - 1 ≠ 9
29 ≠ 9
This is true, so 6 is a solution.

7. For x = 7: 5(7) - 1 ≠ 9
35 - 1 ≠ 9
34 ≠ 9
This is true, so 7 is a solution.

8. For x = 8: 5(8) - 1 ≠ 9
40 - 1 ≠ 9
39 ≠ 9
This is true, so 8 is a solution.

9. For x = 9: 5(9) - 1 ≠ 9
45 - 1 ≠ 9
44 ≠ 9
This is true, so 9 is a solution.

10. For x = 10: 5(10) - 1 ≠ 9
50 - 1 ≠ 9
49 ≠ 9
This is true, so 10 is a solution.

Therefore, the number 2 is NOT a solution of the inequality 5x - 1 ≠ 9.