What is the solution set of 2x−3=5 and 5x+3>−12?

Answer 1

To solve the equation 2x − 3 = 5, we can begin by isolating the variable.

Adding 3 to both sides, we have:
2x = 5 + 3
2x = 8

Finally, dividing both sides by 2 yields:
x = 4

Now, let's solve the inequality 5x + 3 > -12.

Subtracting 3 from both sides, we have:
5x > -12 - 3
5x > -15

Next, dividing both sides by 5, we obtain:
x > -15/5
x > -3

Therefore, the solution set consists of all values greater than -3.