Determine the solution set of 2x>−8 and −5x+7=12.

Answer 1

To determine the solution set of 2x > -8, we divide both sides of the inequality by 2: x > -4.

Next, we solve the equation -5x + 7 = 12. We first subtract 7 from both sides to isolate -5x: -5x = 5. Then, we divide both sides by -5: x = -1.

Therefore, the solution set of 2x > -8 and -5x + 7 = 12 is x > -4 and x = -1.

Answer 2

Determine the solution set of −3x+7=10 or 3x−9=0

Answer 3

Let's solve the equations one by one:

For the equation −3x+7=10, we first need to isolate the variable. Subtracting 7 from both sides of the equation, we get:

−3x = 3

Dividing both sides by -3 (also known as multiplying by -1/3), we find:

x = -1

For the equation 3x−9=0, we can start by adding 9 to both sides to isolate the variable:

3x = 9

Dividing both sides by 3, we obtain:

x = 3

Therefore, the solution set for the given equations is x = -1 and x = 3.