Question 345297

{{{4r-9>7}}} Start with the given inequality.



{{{4r>7+9}}} Add {{{9}}} to both sides.



{{{4r>16}}} Combine like terms on the right side.



{{{r>(16)/(4)}}} Divide both sides by {{{4}}} to isolate {{{r}}}. 



{{{r>4}}} Reduce.



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Answer:


So the solution is {{{r>4}}}



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


{{{drawing(500,80,-6, 14,-10, 10,
number_line( 500, -6, 14),

arrow(4,0,14,0),
arrow(4,0.30,14,0.30),
arrow(4,0.15,14,0.15),
arrow(4,-0.15,14,-0.15),
arrow(4,-0.30,14,-0.30),

circle(4,0,0.3),
circle(4,0,0.3),
circle(4,0,0.3),
circle(4,0,0.3-0.02)
)}}} 



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