Question 1046903
Just to be absolutely clear, WHAT is the inequality with which you begin?  Is the first term,  "3", or is it "2.3"?



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Now clarified:  2.3+2(x+5)>x+5(x+1)+1


When placed between rendering tags,  {{{2.3+2(x+5)>x+5(x+1)+1}}}
Similar to handling an equation, isolate the variable and do any simplifications.


{{{2.3+2x+10>x+5x+5+1}}}


{{{2x+2.3+10>x+5x+6}}}


Let's turn this around, but watch the order relation symbol carefully:
{{{x+5x+6<2x+2.3+10}}}


{{{6x+6<2x+12.3}}}


"Subtract"  2x from both sides.
{{{4x+6<12.3}}}


{{{4x<12.3-6}}}


{{{4x<6.3}}}


Divide both sides by the POSITIVE 4.
{{{x<6.3/4}}}


{{{highlight(x<1.575)}}}