Question

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

Answer 1

Answer:

The solution for the expression is:

$x=-\frac{11}{2}$

Step-by-step 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.

$\frac{-2x}{-2}=\frac{11}{-2}$

∴ $x=-\frac{11}{2}$

The correct graph that represents the solution is given below.