Question 215261
[7-3x]>=10,,,,,,lets  solve  with  = only,,,first
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(7-3x) = 10,,,,,,,,,(7-3x) = -10
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-3x = 3,,,,,,,,,,,,,,-3x = -17
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x=-1,,,,,,,,,,,,,,,,,,x=17/3 = 5.67
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now,  plot  on  number  line
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,,,,,,,A,,,,,,,,,-1,,,,,,,B,,,,,,,,5.67,,,,,,C,,,,,
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Lets  check  original  inequality  in  each  region
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A,,,let x= -2,,,,13>=10,,,,,  true
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B,,,,let  x=0,,,,,7>=10,,,,,not  true
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C,,,,,let x= 7,,,,,14>=10,,,,true
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Therefore  x<-1,,,,and x>=5.67,,,,,,-1>x>5.67,,,,   answer
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This  can  be  done  by  maintaining  the  inequality,  setting the  positive  absolute  value  as >=,,and  negative  as <=,,and  solving,  but  watching  the  flip  of  inequalities  as  we  multiply  or  divide  by  negative  number, but  it  gets  confusing,  especially  for  this  problem.
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