Question

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

a.{x|x>-1}
b.{x|x>-4}
c.{-1}
d.{-4}

Answer 1

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

To determine the solution set of -5x+7=12, we subtract 7 from both sides of the equation, resulting in -5x = 5. Dividing both sides of the equation by -5, we get x = -1.

So, the solution set of the combined equations is {x|x > -4, x = -1}.

The correct option is a. {x|x > -1}.