Question 148884


{{{7+6x<61}}} Start with the given inequality.



{{{6x<61-7}}} Subtract {{{7}}} from both sides.



{{{6x<54}}} Combine like terms on the right side.



{{{x<(54)/(6)}}} Divide both sides by {{{6}}} to isolate {{{x}}}. 



{{{x<9}}} Reduce.



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Answer:


So the answer is {{{x<9}}} 




So the solution set is  *[Tex \LARGE \left\{x\|x<9\right\}]


Which in interval notation is *[Tex \LARGE \left(-\infty,9\right)]




Here's the graph of the solution set


{{{drawing(500,80,-1, 19,-10, 10,
number_line( 500, -1, 19),


arrow(9,0,-1,0),
arrow(9,0.30,-1,0.30),
arrow(9,0.15,-1,0.15),
arrow(9,-0.15,-1,-0.15),
arrow(9,-0.30,-1,-0.30),




circle(9,0,0.3),
circle(9,0,0.3),
circle(9,0,0.3),
circle(9,0,0.3-0.02)
)}}}