You can put this solution on YOUR website! your first equation is 3w - 2 > 1
solve for w to get:
w > 1
your second equation is 2w + 2 > 10
solve for w to get:
w > 4
the first equation is satisfied when w > 1.
the second equation is satisfied when w > 4.
both equations are satisfied when w > 4.
here's a reference on solving compound inequalities. http://www.sparknotes.com/math/algebra1/compoundinequalities/section4.rhtml
you basically break the problem up into 2 equatins and find the solution for each equation and then determine where the solution lies that satisfies both equations.
in this case, w > 1 satisfied the first equation and w > 4 satisfied the equation.
only when x > 4 were both equations satisfied.
the "and" condition signified that both equations had to be satisfied at the same time.
