Question

Solve the following inequality. 4x-1> -9


`A) x \ \textgreater \ - (5)/(2) \\ B) x \ \textless \ - (5)/(2) \\ C) x \ \textgreater \ -2 \\ D) x \ \textless \ -2`

Answer 1

Solve inequalities the way you would solve an equation except for this rule-
If you multiply or divide a negative, the sign must be switched.

Do the inverse of everything like in an equation-
4x-1> -9
+1 +1 (Add 1)
4x>-8
/4 /4 (Divide 4)
You are not dividing a negative number from another number. So keep the sign.
x>-2
Your answer is C.