How do you solve the two step inequality #5/6 v+7<=-3#?

1 Answer
Tony B
Dec 5, 2015

#v<= -12#

Explanation:

You treat this the way you do any algebra manipulation. One trap you have to watch for though is that it is imperative you keep in mind that 'the v part' is less than. This can catch you out when multiplying by (-1). We are not doing so in this problem!

Given: #6/6v+7<= -3#

Subtract 7 from both sides giving:

#5/6v +(7-7)<=-3-7#

#5/6v<=-10#

Multiply both sides by 6

#6/6xx5v<=(-10)xx6#

#5v=-60#

Divide both sides by 5

#5/5v<=(-60)/5#

#v<= -12#

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