Question

Select the graph of the solution set that would represent the following expression.

3(x - 2) = 5 (x + 1)

Answer 1

The solution for the expression is:

`x=-(11)/(2)`

Explanation:

Given expression:

`3(x-2)=5(x+1)`

To graph the solution set.

Solution:

We will first solve for
`x` to find the solution for the expression.

We have:

`3(x-2)=5(x+1)`

Using distribution:

`3x-6=5x+5`

Adding 6 both sides.

`3x-6+6=5x+5+6`

`3x=5x+11`

Subtracting both sides by
`5x`.

`3x-5x=5x-5x+11`

`-2x=11`

Dividing both sides by 2.

`(-2x)/(-2)=(11)/(-2)`

∴
`x=-(11)/(2)`

The correct graph that represents the solution is given below.