How do you solve #r/4 - 10 > - 11#?

1 Answer
Alan P.
Sep 14, 2015

#r > -4#

Explanation:

#r/4 -10 > -11#

#color(white)("XXXX")#add 10 to both sides
#r/4 > -1#
#color(white)("XXXX")#multiply both sides by 4
#r > -1#

Things you can do with expressions in an inequality which maintain the inequality orientation:

  • Add the same amount to each expression
  • Subtract the same amount from each expression
  • Divide each expression by the same amount provided the amount is greater than zero
  • Multiply each expression by the same amount provided the amount is greater than zero

Things you can do with expressions in an inequality which reverse the inequality orientation.

  • Divide each expression by the same amount when the amount is less than zero
  • Multiply each expression by the same amount when the amount is less than zero
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