Question 161527
Let x= number of bedroom sets
Let y= living room sets

The company,  wants to display at least 6 bed room sets and at least 5 living room sets.

Then 
{{{x>=6}}}
{{{y>=5}}}

The company has 546 square meters of available space,
bedroom sets requires 21 square meters of space and living room sets requires 42 square meters of space.

then {{{21x+42y<=546}}}

Answer: system is:
{{{21x+42y<=546}}}
{{{x>=6}}}
{{{y>=5}}}