chapter 5: linear inequalities

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  • division= 60t>8----60t/60>8/60---t>2/15--{tlt>2/15} or -7d<147---- -7d/-7<147/-7 remember, if you divide both sides of an inequality, the sign flips. multiplication=   -3/7r<21----(-7/3)(-3/7)r>21(-7/3)---r>-49--{rlr>-49}      or  -n/6<8---- (-6)(-n/6)<8(-6)---n<-48--{nln<-48} remember, if you multiply both side of an inequality by a negative, then the inequality symbol changes direction
  • how to solve inequalities: addition=  x-12>8 ---- x>20-- {xlx>20} subtraction=  m+19>56----m>37-- { mlm>37} remember to always keep the variable on the left side, to do so; you switch the number and letters, including the sign
  • how to graph inequalities: after solving the inequality; m<9 <-l---------l---------l->   8              9             10  when solving inequalities remember that (the hole is open) and (the hole is closed)
  • chapter 5: Linear Inequalities
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