Question 611066


{{{8x+4>4(2x+1)-x+5}}} Start with the given inequality.



{{{8x+4>8x+4-x+5}}} Distribute.



{{{8x+4>7x+9}}} Combine like terms on the right side.



{{{8x>7x+9-4}}} Subtract {{{4}}} from both sides.



{{{8x-7x>9-4}}} Subtract {{{7x}}} from both sides.



{{{x>9-4}}} Combine like terms on the left side.



{{{x>5}}} Combine like terms on the right side.



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Answer:


So the solution is {{{x>5}}} 


So the answer in interval notation is *[Tex \LARGE \left(5,\infty\right)]



Here's the graph of the solution set on the number line


{{{drawing(500,80,-5, 15,-10, 10,
number_line( 500, -5, 15),

arrow(5,0,15,0),
arrow(5,0.30,15,0.30),
arrow(5,0.15,15,0.15),
arrow(5,-0.15,15,-0.15),
arrow(5,-0.30,15,-0.30),

circle(5,0,0.3),
circle(5,0,0.3),
circle(5,0,0.3),
circle(5,0,0.3-0.02)
)}}}


Note: there's an open circle at the endpoint

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