Question 185534
{{{(4/5)(3x+4)<=20}}} Start with the given inequality.



{{{4(3x+4)<=20(5)}}} Multiply both sides by 5.



{{{4(3x+4)<=100}}} Multiply.



{{{12x+16<=100}}} Distribute.



{{{12x<=100-16}}} Subtract {{{16}}} from both sides.



{{{12x<=84}}} Combine like terms on the right side.



{{{x<=(84)/(12)}}} Divide both sides by {{{12}}} to isolate {{{x}}}. 



{{{x<=7}}} Reduce.



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Answer:


So the answer is {{{x<=7}}} 



So the answer in interval notation is   <font size="8">(</font>*[Tex \LARGE \bf{-\infty,7}]<font size="8">]</font>




Also, the answer in set-builder notation is  *[Tex \LARGE \left\{x\|x\le7\right\}]



Here's the graph of the solution set


{{{drawing(500,80,-3, 17,-10, 10,
number_line( 500, -3, 17),


arrow(7,0,-3,0),
arrow(7,0.30,-3,0.30),
arrow(7,0.15,-3,0.15),
arrow(7,-0.15,-3,-0.15),
arrow(7,-0.30,-3,-0.30),




circle(7,0,0.2),
circle(7,0,0.15),
circle(7,0,0.1),
circle(7,0,0.2-0.02)
)}}}