SOLUTION: I have tried these problems a few times and cannot come up with a solution...help! a) 3|x|+12=7 b) 5|x+3| +6=3 c) 12-|2x+7>=14

Question 211558: I have tried these problems a few times and cannot come up with a solution...help!
a) 3|x|+12=7
b) 5|x+3| +6=3
c) 12-|2x+7>=14
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a)

Start with the given equation

Subtract 12 from both sides.

Divide both sides by 3

Since the expression is never true (note: remember, the absolute value of any number is always positive), there are no solutions to

So there are no solutions.

b)

Start with the given equation

Subtract 6 from both sides.

Divide both sides by 5

Since the expression is never true (note: remember, the absolute value of any number is always positive), there are no solutions to

So there are no solutions.

c)

Start with the given inequality.

Subtract 12 from both sides.

Combine like terms.

Multiply both sides by -1 (this will flip the inequality).

Because for ALL 'x', this means that is simply not possible.

So there are no solutions.

So this might explain why you couldn't come up with a solution....as there are none. However, make sure that you copied down the problems correctly.
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