I need help solving for {X|X ?}
3/8 (5+6x)+3 greater than or equal to 21
I appreciate help working through this!
If I understand what you're asking, you want:
Technically that set definition works (though, we might put a condition on the left-hand side by , the real numbers). You should, however, simplify the specification on the right-hand side. That is just algebra, though. You should be able to do that. It's straight-foward. The answer is .
Your goal is to get x by itself. To do this first you subtract the constant '1' from each side to get
Now you cross-multiply both sides by . Do you see why this was chosen? It removes the fraction from the left side. The result is then
Then again we subtract the free constant 3 from both sides to get
And finally we divide both sides by 2 to get a result simplified to an inequality regarding x:
Did each step make sense to you? Also, when did the equation change? Didn't we originally start with ? In any case, the steps would be identical to the above, just with different values, and I already reported the result almost completely simplified.