Question 112981
{{{3(2x-4)-4x<2x+3}}} Start with the given inequality




{{{6x-12-4x<2x+3}}} Distribute



{{{2x-12<2x+3}}} Combine like terms on the left side



{{{2x<2x+3+12}}}Add 12 to both sides



{{{2x-2x<3+12}}} Subtract 2x from both sides



{{{0x<3+12}}} Combine like terms on the left side



{{{0x<15}}} Combine like terms on the right side



{{{0<15}}} Simplify


Since this inequality is <font size=4><b>always</b></font> true for any x value, this means there are an infinite number of solutions.