2x-2<-12 or 2x+3>7
A.X<-5 or X>2
B.X<-5 or X>5***
C.X<-7 or X>5
D.X<-12 or X>5
***=my answer
Let's solve the inequalities to make sure you are right:
2x-2<-12
2x<-10
x<-5
2x+3>7
2x>4
x>2
Looks like your answer is wrong. It should be A.
thank you AJL <3
You are welcome!
To solve the inequality 2x-2<-12 or 2x+3>7, we need to solve each inequality separately and then combine the solutions.
For the first inequality, 2x-2<-12:
1. Add 2 to both sides of the inequality:
2x-2+2<-12+2
2x<-10
2. Divide both sides of the inequality by 2 (since the coefficient of x is 2 and we want to isolate x):
(2x)/2<-10/2
x<-5
So, the solution to the first inequality is x<-5.
For the second inequality, 2x+3>7:
1. Subtract 3 from both sides of the inequality:
2x+3-3>7-3
2x>4
2. Divide both sides of the inequality by 2:
(2x)/2>4/2
x>2
So, the solution to the second inequality is x>2.
To combine the solutions, we take the union of the individual solutions:
x<-5 or x>2
Therefore, the correct answer is B. x<-5 or x>5.