Question 293137
{{{15x+18<=4(5x+2)}}} Start with the given inequality.



{{{15x+18<=20x+8}}} Distribute.



{{{15x<=20x+8-18}}} Subtract {{{18}}} from both sides.



{{{15x-20x<=8-18}}} Subtract {{{20x}}} from both sides.



{{{-5x<=8-18}}} Combine like terms on the left side.



{{{-5x<=-10}}} Combine like terms on the right side.



{{{x>=(-10)/(-5)}}} Divide both sides by {{{-5}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>=2}}} Reduce.



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Answer:


So the solution is {{{x>=2}}}