How do you solve #\frac { 10k - 3} { - 7} > 3#?

1 Answer
smendyka
Nov 21, 2016

#k < -1.8#

Explanation:

To complete this problem you must isolate and solve for #k# while keeping the inequality balanced.

First, multiple each side of the equation by #-7#. Remember, multiplying or dividing an inequality by a negative number causes you to have to reverse the inequality.

#(-7(10k - 3))/(-7) < 3*-7#

#10k - 3 < -21#

Next add #3# to each side o the equation:

#10k - 3 + 3 < -21 + 3#

#10k < -18#

Finally, divide each side of the equation by #10#. You do not reverse the inequality for this operation because it is a positive number we are dividing byL

#(10k)/10 < -18/10#

#k < -1.8#

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