Use a table to find the solution of the equation 4.6 = 2n - 5. If the solution lies between two consecutive integers, identify those integers. If the solution is an integer, type the integer , otherwise, type the two consecutive integers between which the solution lies.

Question

Use a table to find the solution of the equation 4.6 = 2n - 5. If the solution lies between two consecutive integers, identify those integers. If the solution is an integer, type the integer , otherwise, type the two consecutive integers between which the solution lies.

(Please use a comma to separate answers as needed)

Answer 1

To find the solution of the equation 4.6 = 2n - 5, we can create a table by substituting different values of n into the equation.

Let's start by substituting n = 0 into the equation:
4.6 = 2(0) - 5
4.6 = -5

The equation is not satisfied when n = 0.

Let's try n = 1:
4.6 = 2(1) - 5
4.6 = 2 - 5
4.6 = -3

The equation is not satisfied when n = 1.

Let's try n = 2:
4.6 = 2(2) - 5
4.6 = 4 - 5
4.6 = -1

The equation is not satisfied when n = 2.

Let's try n = 3:
4.6 = 2(3) - 5
4.6 = 6 - 5
4.6 = 1.6

The equation is not satisfied when n = 3.

Let's try n = 4:
4.6 = 2(4) - 5
4.6 = 8 - 5
4.6 = 3.6

The equation is not satisfied when n = 4.

Let's try n = 5:
4.6 = 2(5) - 5
4.6 = 10 - 5
4.6 = 5.6

The equation is not satisfied when n = 5.

Let's try n = 6:
4.6 = 2(6) - 5
4.6 = 12 - 5
4.6 = 7.6

The equation is not satisfied when n = 6.

Now we can conclude that the solution lies between two consecutive integers, specifically between n = 3 and n = 4.

Answer 2

Using a table I found the n is between 4 and 5, the left side of the equation (2n - 5) is between 3 and 5 which means that the solution to the equation lies between these two consecutive integers. The solution to the equation lies between 4 ande 5

Answer 3

Apologies for the incorrect interpretation. You are correct. By creating a table, we can see that the solution to the equation 4.6 = 2n - 5 lies between two consecutive integers, specifically between n = 4 and n = 5. Thank you for pointing that out.

Answer 4

To find the solution of the equation 4.6 = 2n - 5 using a table, we can create a table by substituting different values for n and calculating the corresponding value of 2n - 5.

Let's take a range of values for n from -5 to 5 and calculate 2n - 5:

| n | 2n - 5 |
|:-----:|:--------:|
| -5 | -15 |
| -4 | -13 |
| -3 | -11 |
| -2 | -9 |
| -1 | -7 |
| 0 | -5 |
| 1 | -3 |
| 2 | -1 |
| 3 | 1 |
| 4 | 3 |
| 5 | 5 |

As we can see from the table, when n = 3, the value of 2n - 5 equals 1. Therefore, the solution to the equation 4.6 = 2n - 5 lies between 2 and 3.