Respuesta :
The area of the carpet must be greater than 20 square yards for which Rugs Emporium charges more than Carpets 4U.
Explanation
Suppose, the number of square yards of carpet is [tex]x[/tex]
Rugs Emporium charges $80 plus $9.50 per square yard of carpet. So, the total charge for [tex]x[/tex] square yards of carpet [tex]= (80+9.50x) dollar[/tex]
Carpets 4U charges $120 for installation and $7.50 per square yard of carpet. So the total charge for [tex]x[/tex] square yards of carpet [tex]=(120+7.50x) dollar[/tex]
If the Rugs Emporium charges more than Carpets 4U , then the inequality will be.....
[tex]80+9.50x>120+7.50x\\ \\ 9.50x-7.50x>120-80 \\ \\ 2x>40\\ \\ x>20[/tex]
So, the area of the carpet must be greater than 20 square yards for which Rugs Emporium charges more than Carpets 4U.
