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.

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
RELATED QUESTIONS
I need to understanding how to do this question on math. Solve using the addition... (answered by robertb)
solve using the addition principle 2x + 7 > x + 12 the solution set is { x/x > _____... (answered by MathLover1,jim_thompson5910)
Can you help me solve this using the addition principle? 2x + 8 ≤x + 8 (answered by algebrahouse.com,solver91311)
I do not understand how to solve this, please help. Solve the following system by... (answered by funmath)
I do not understand. Question solve each compound ineqaulity and write the solution set... (answered by Nate,venugopalramana)
HELP please... Solve using the addition principle. 2x + 5 < x+4 (the arrow is... (answered by dolly)
Solve using the addition principle. x - 7/25 = 0 do i subtract before adding can you... (answered by Alan3354)
I can't figure out this question. Need help. Thanks. Solve using the addition... (answered by swincher4391)
Solve for x using the addition principle: -8 + x =... (answered by mananth)