Question 202745
{{{(9/10)(7+2x)+2>=14}}} Start with the given inequality.



{{{63/10+(9/5)x+2>=14}}} Distribute.



{{{cross(10)(63/cross(10))+cross(10)^2((9/cross(5))x+2)>=10(14)}}} Multiply EVERY term by the LCD {{{10}}} to clear any fractions.



Note: clearing out the fractions is not necessary, but it helps simplify things.



{{{63+18x+20>=140}}} Multiply and simplify.



{{{18x+83>=140}}} Combine like terms on the left side.



{{{18x>=140-83}}} Subtract {{{83}}} from both sides.



{{{18x>=57}}} Combine like terms on the right side.



{{{x>=(57)/(18)}}} Divide both sides by {{{18}}} to isolate {{{x}}}. 



{{{x>=19/6}}} Reduce.



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Answer:


So the solution is {{{x>=19/6}}}