4 variable system of inequalities graphing

The equations below need to be graphed in order for me to find the solution to the system of equations. Since there are 4 variables I also need 4 dimensions. Does anyone know of a way to do this (I'm very new)?

[Matthew Acs]

equations:

10x+9y+8z+11w>100
20x+1y+6z+0w>70
70x+100y+4z+11w>500
0x+0y+40z+0w>70
1x+9y+8z+5w>109

[Matthew Acs]

sorry didn't separate them: 10x+9y+8z+11w>100, 20x+1y+6z+0w>70, 70x+100y+4z+11w>500, 0x+0y+40z+0w>70, 1x+9y+8z+5w>109