MATH 1501-B1Test 19 June 20111. (4 points) Solve (1-x)(x2-1)<0. Give your answer in interval notation.2. (4 points) For which real numbersxis the expressionrx3-1xdefined?3. (4 points) The symboldxedenotes the smallest integer which is≥x(e.g.,d2.1e= 3 andd-0.9e= 0). Graph the functionsf(x) =d2x-1eandg(x) = 2dxe -1 on the interval[-3,3]. Be sure to clearly label your graphs and the axes.