How do you solve #-5/4p+6<12#?

1 Answer
smendyka
Dec 6, 2016

#p > -24/5#

Explanation:

Step 1 is to isolate the #p# term while keeping the inequality balanced:

#-5/4p + 6 - 6 < 12 - 6#

#-5/4p + 0 < 6#

#-5/4p < 6#

Step 2 is to solve for #p# while keeping the inequality balanced. Additionally, we must remember and apply the rule about multiplying or dividing an inequality by a negative number causes the inequality to reverse or "flip":

#-4/5 -5/4p > -4/5 * 6#

#(-20)/(-20)p > -24/5#

#1p > -24/5#

#p > -24/5#

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