SOLUTION: Solve using the addition principle. 2x+8> x +10 The solution set is X X > __ Help me please again I do not understand what I am supposed to do with this.

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Question 134624: Solve using the addition principle.
2x+8> x +10
The solution set is X X > __
Help me please again I do not understand what I am supposed to do with this.
Found 2 solutions by solver91311, vleith:
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

You can add -x to both sides:

Then add -8 to both sides:

Since we never multiplied or divided by a negative number, the sense of the inequality remains the same throughout.

The solution set is {x|x > 2}

Sanity check:
Pick a number larger than 2 and substitute:
3 is larger than 2:

, true statement -- so far so good.

Pick a number smaller than 2
1 is smaller than 2:

, false statement, as expected.

The above does NOT conclusively prove the answer, but it does give you a nice warm fuzzy feeling that you are most likely correct.

Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website!
Given:

As long as you just add or subtract, the 'less than' sing stays pointing the same direction. If you multiply or divide by a negative number, you need to reverse the sign (less then become greater than) on a negative