How do you solve #-13> k - 8#?

2 Answers
Jim G.
Oct 9, 2016

#k< -5#

Explanation:

Begin by reversing the inequality. This involves reversing the symbol.

#-13>k-8#

#rArrk-8< -13larr" reverse the symbol"#

add 8 to both sides.

#kcancel(-8)cancel(+8)< -13+8#

#rArrk< -5" is the solution"#

Lil Del
Oct 9, 2016

#k < -5#

Explanation:

This is a linear inequality in one variable, and is solved by using inverse operations to isolate the variable.

#-13 > k - 8#
Add 8 to both sides of the inequality.
#-13 + 8 > k - 8 + 8#
#-5 > k#

Rewrite the inequality so that the variable is on the left, the customary way to write an inequality in one variable. Remember this requires that you flip the inequality symbol.

#k < -5#

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