# Write inequalities to describe the sets The solid cube in the first octant bounded by the coordinate planes and the planes x = 2, y = 2, and z = 2

Question
Write inequalities to describe the sets The solid cube in the first octant bounded by the coordinate planes and the planes x = 2, y = 2, and z = 2

2021-02-25
The solid cube (or region) in the first octant bounded by the coordinate plane annd the planes x=a,y=b and z=c is
$$\displaystyle{0}\le{x}\le{a},{0}\le{y}\le{b}{\quad\text{and}\quad}{0}\le{z}\le{c}.$$ The solid cube (or region) in the first octant bounded by the coordinate planes and the planes x=2,y=2 and z=2 is
$$\displaystyle{0}\le{x}\le{2},{0}\le{y}\le{2}{\quad\text{and}\quad}{0}\le{z}\le{2}.$$

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