Question 336000
{{{-3x + 2.5x < 1.5(x+4)}}} Start with the given inequality.



{{{-3x + 2.5x < 1.5x+6}}} Distribute.



{{{-30x + 25x < 15x+60}}} Multiply EVERY term by 10 to make every number a whole number.



{{{-5x<15x+60}}} Combine like terms on the left side.



{{{-5x-15x<60}}} Subtract {{{15x}}} from both sides.



{{{-20x<60}}} Combine like terms on the left side.



{{{x>(60)/(-20)}}} Divide both sides by {{{-20}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>-3}}} Reduce.



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Answer:


So the solution is {{{x>-3}}}



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