Question 555835

{{{4x+1<=9}}} Start with the given inequality.



{{{4x<=9-1}}} Subtract {{{1}}} from both sides.



{{{4x<=8}}} Combine like terms on the right side.



{{{x<=(8)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}. 



{{{x<=2}}} Reduce.



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Answer:


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



So the answer in interval notation is   <font size="8">(</font>*[Tex \LARGE \bf{-\infty,2}]<font size="8">]</font>



Also, the answer in set-builder notation is  *[Tex \LARGE \left\{x\|x\le2\right\}]



Here's the graph of the solution set


{{{drawing(500,80,-8, 12,-10, 10,
number_line( 500, -8, 12),


arrow(2,0,-8,0),
arrow(2,0.30,-8,0.30),
arrow(2,0.15,-8,0.15),
arrow(2,-0.15,-8,-0.15),
arrow(2,-0.30,-8,-0.30),




circle(2,0,0.2),
circle(2,0,0.15),
circle(2,0,0.1),
circle(2,0,0.2-0.02)
)}}}


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