What is the solution set of 2x−3=5

and 5x+3>−12
?

1 answer

To find the solution set of 2x - 3 = 5, we can start by adding 3 to both sides of the equation:

2x - 3 + 3 = 5 + 3

This simplifies to:

2x = 8

Next, we can divide both sides of the equation by 2 to solve for x:

2x/2 = 8/2

This simplifies to:

x = 4

So, the solution to the equation 2x - 3 = 5 is x = 4.

To find the solution set of 5x + 3 > -12, we can start by subtracting 3 from both sides of the inequality:

5x + 3 - 3 > -12 - 3

This simplifies to:

5x > -15

Next, we can divide both sides of the inequality by 5 to solve for x. But since we are dividing by a positive number, the inequality symbol remains the same:

5x/5 > -15/5

This simplifies to:

x > -3

So, the solution to the inequality 5x + 3 > -12 is x > -3.

Therefore, the solution set to the system of equations is x = 4 and x > -3.