Question

Which of the following is a solution to the inequality -2x + 3> 7?

A)-3

B)3

C)-4

D)-2

E)-10

F)0

Answer 1

A, C, E

Explanation:

`-2x+3>7\qquad|\text{subtract 3 from both sides}\\\\-2x+3-3>7-3\\\\-2x>4\qquad|\text{change the signs}\\\\2x<-4\qquad|\text{divide both sides by 2}\\\\(2x)/(2)<(-4)/(2)\\\\x<-2`

`A)\ -3<-2\qquad\boxed{CORRECT}\\\\B)\ 3>-2\\\\C)\ -4<-2\qquad\boxed{CORRECT}\\\\D)\ -2=-2\\\\E)\ -10<-2\qquad\boxed{CORRECT}\\\\F)\ 0>-2`

Answer 2

-2x + 3 > 7
-2x > 4
x < -2

D) -2 is your answer