Question

5+x>3 or 6x+1<-29

what is the solution?

Answer 1

In order to solve a inequation we have to make the right side a 0.
\[5+x>3\]
Let's treat it as a normal equation and extract -3 from both sides:
\[2+x>0\]
Now, let's make it equal zero:
\[2+x=0\]
And by extracting 2 from each side, we get:
\[x=-2\]
With that we can study it's sign, because the value we just found makes the whole equation equal to zero:

Now, we are asked for values greater than 3, so the answer is:
\[(-2;\infty)\]
Try applying the same process to the other inequality.