SOLUTION: Use an inequality to slove the problem One side of a triangle is 4 cm shorter than the base, x. The other side is 6 cm longer than the base. What lengths of the base will allow th

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Question 420919: Use an inequality to slove the problem
One side of a triangle is 4 cm shorter than the base, x. The other side is 6 cm longer than the base. What lengths of the base will allow the perimeter of the triangle to be at least 29 cm?
x=base lenght
x-4 1st side
x+6 2nd side
a+b+c=P
x+x-4+x+8>or equal to 29 do not know how to make the greater than
or equal to sign on comp. Lost after that.
so far is that right, and how do I finish
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Like Livingstone said to Stanley, "Safari, so goodie"

Seriously though, except for one little typo, you have done everything correctly. The last step you show should look like:

(6 instead of 8)

Then it is exactly like solving the analogous equation (except that if you ever have to multiply by a negative, you have to reverse the sense of the inequality sign, greater than becomes less than or vice versa).

Collect terms:

Add -2 to both sides:

Multiply by :

By the way, if you need to render or in plain text use >= or <=.

John

My calculator said it, I believe it, that settles it