Pls guys help me pls :c

Mathematics

1 answer:

Vinil7 [7]3 years ago

8 0

Answer: A. $x\geq21\dfrac{2}{3}$ .

Step-by-step explanation:

The given inequation: $81-1\dfrac{1}{5}x\leq55$

$\Rightarrow\ 81-\dfrac{6}{5}x\leq55$

Multiplying 5 on both the sides, we get

$5(81-\dfrac{6}{5}x)\leq5\times55\\\\\Rightarrow\ 405-6x\leq275\\\\\Rightarrow\ 6x\geq405-275\\\\\Rightarrow\ 6x\geq130\\\\\Rightarrow\ x\geq\dfrac{130}{6}\\\\\Rightarrow\ x\geq\dfrac{65}{3}\\\\\Rightarrow\ x\geq21\dfrac{2}{3}$

Hence, the inequality for x is $x\geq21\dfrac{2}{3}$ .

So, the correct option is A. $x\geq21\dfrac{2}{3}$ ..

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