Answer: A. [tex]x\geq21\dfrac{2}{3}[/tex] .
Step-by-step explanation:
The given inequation: [tex]81-1\dfrac{1}{5}x\leq55[/tex]
[tex]\Rightarrow\ 81-\dfrac{6}{5}x\leq55[/tex]
Multiplying 5 on both the sides, we get
[tex]5(81-\dfrac{6}{5}x)\leq5\times55\\\\\Rightarrow\ 405-6x\leq275\\\\\Rightarrow\ 6x\geq405-275\\\\\Rightarrow\ 6x\geq130\\\\\Rightarrow\ x\geq\dfrac{130}{6}\\\\\Rightarrow\ x\geq\dfrac{65}{3}\\\\\Rightarrow\ x\geq21\dfrac{2}{3}[/tex]
Hence, the inequality for x is [tex]x\geq21\dfrac{2}{3}[/tex] .
So, the correct option is A. [tex]x\geq21\dfrac{2}{3}[/tex] ..
