Question 375571

{{{20-(4/5)x>=16}}} Start with the given inequality.



{{{5(20)-cross(5)((4/cross(5))x)>=5(16)}}} Multiply EVERY term by the LCD {{{5}}} to clear any fractions.



{{{100-4x>=80}}} Multiply and simplify.



{{{-4x>=80-100}}} Subtract {{{100}}} from both sides.



{{{-4x>=-20}}} Combine like terms on the right side.



{{{x<=(-20)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<=5}}} Reduce.



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Answer:


So the solution is {{{x<=5}}} 



So you were close, but you forgot to flip the sign.




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