Question 348834


{{{7(2y+3)-8y>2(3y-5)-9}}} Start with the given inequality.



{{{14y+21-8y>6y-10-9}}} Distribute.



{{{6y+21>6y-10-9}}} Combine like terms on the left side.



{{{6y+21>6y-19}}} Combine like terms on the right side.



{{{6y>6y-19-21}}} Subtract {{{21}}} from both sides.



{{{6y-6y>-19-21}}} Subtract {{{6y}}} from both sides.



{{{0y>-19-21}}} Combine like terms on the left side.



{{{0y>-40}}} Combine like terms on the right side.



{{{0>-40}}} Simplify.



Since the inequality is <u>ALWAYS</u> true, this means that there are an infinite number of solutions.