How do you solve #35> 7( b - 4)#?

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Answer 1 · 2017-10-11T18:09:45

#9>b#

This is an inequality which is usually solved like a normal equation.

We have #35>7(b-4)#

Divide both sides by #7#

#35/7>7/7(b-4)#

#5>b-4#

Now add #4# to both sides of the equation.

#5+4>b-4+4#

#9>b#

Now if the equation was #35>(-7)(b-4)#

We'd get #5>(-b+4)#

Now we'll have to subtract #4# from both sides of the equation.

#5-4> -b+4-4#

#1> (-b)#

Now i'll multiply both sides by #-1#. Whenever we multiply an inequality by a negative number the inequality will reverse.

Therefore we'll have #-1<b#