-7v+6\\\\55+7v-55<-7v+6+7v-55\\\\7v>-49\ \ /:7\\\\v>-7\ \ \ \Rightarrow\ \ \ v\ \in\ (-7;\ +\infty)"> 55 > − 7 v + 6 55 + 7 v − 55 < − 7 v + 6 + 7 v − 55 7 v > − 49 / : 7 v > − 7 ⇒ v ∈ ( − 7 ; + ∞ )
55 > -7v +6 55-6 > -7v+6-6 49 > -7v 49/(-7) < (-7v)/(-7) -7 < v
To solve the inequality, rearrange, isolate the variable, and remember that dividing by a negative flips the inequality sign. The solution is that v must be greater than − 7 , expressed as v ∈ ( − 7 , + ∞ ) . This means any number greater than − 7 is a solution.
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