Question 658309


{{{v-7(v-4)>-6v+7}}} Start with the given inequality.



{{{v-7v+28>-6v+7}}} Distribute.



{{{-6v+28>-6v+7}}} Combine like terms on the left side.



{{{-6v>-6v+7-28}}} Subtract {{{28}}} from both sides.



{{{-6v+6v>7-28}}} Add {{{6v}}} to both sides.



{{{0v>7-28}}} Combine like terms on the left side.



{{{0v>-21}}} Combine like terms on the right side.



{{{0 > -21}}} Simplify



Since that last inequality is always true, there are an infinite number of solutions (since any real number works as a solution)