Question 202679


{{{2x-(7+x)<x}}} Start with the given inequality.



{{{2x-7-x<x}}} Distribute.



{{{x-7<x}}} Combine like terms on the left side.



{{{x<x+7}}} Add {{{7}}} to both sides.



{{{x-x<7}}} Subtract {{{x}}} from both sides.



{{{0x<7}}} Combine like terms on the left side.



{{{0<7}}} Simplify



Since the inequality is true for all values of x, this means that there are an infinite number of solutions.