Question

Which of the first 10 natural numbers is not a solution of 5X minus one equals nine

Answer 1

Using metal math, solve the inequality, 7+8> 5+6 in the solution set the variable a must be greater than what number?

Answer 2

To determine which of the first 10 natural numbers is not a solution of the equation 5X - 1 = 9, we can simply plug in each number from 1 to 10 and see which one does not satisfy the equation.

1. For X = 1: 5(1) - 1 = 5 - 1 = 4 ≠ 9
2. For X = 2: 5(2) - 1 = 10 - 1 = 9 (satisfies the equation)
3. For X = 3: 5(3) - 1 = 15 - 1 = 14 ≠ 9
4. For X = 4: 5(4) - 1 = 20 - 1 = 19 ≠ 9
5. For X = 5: 5(5) - 1 = 25 - 1 = 24 ≠ 9
6. For X = 6: 5(6) - 1 = 30 - 1 = 29 ≠ 9
7. For X = 7: 5(7) - 1 = 35 - 1 = 34 ≠ 9
8. For X = 8: 5(8) - 1 = 40 - 1 = 39 ≠ 9
9. For X = 9: 5(9) - 1 = 45 - 1 = 44 ≠ 9
10. For X = 10: 5(10) - 1 = 50 - 1 = 49 ≠ 9

From the calculations above, we see that X = 2 is the only solution that satisfies the equation, so the number 2 is not a solution of 5X - 1 = 9. 

Answer 3

To solve the inequality 7 + 8 > 5 + 6 using mental math, we first simplify the expression on both sides:

7 + 8 = 15
5 + 6 = 11

Therefore, the inequality becomes 15 > 11.

Now, we need to find the minimum value that the variable 'a' must be greater than for the inequality to hold true.

Since we want to find the minimum value that 'a' must be greater than, we can set 'a' as the lower value (11) and add 1 to it to make it greater:

a > 11 + 1
a > 12

Therefore, in the solution set, the variable 'a' must be greater than 12 for the inequality 7 + 8 > 5 + 6 to hold true.