Question

Pls guys help me pls :c​

Answer 1

Answer: A.
`x\geq21(2)/(3)` .

Explanation:

The given inequation:
`81-1(1)/(5)x\leq55`

`\Rightarrow\ 81-(6)/(5)x\leq55`

Multiplying 5 on both the sides, we get

`5(81-(6)/(5)x)\leq5*55\\\\\Rightarrow\ 405-6x\leq275\\\\\Rightarrow\ 6x\geq405-275\\\\\Rightarrow\ 6x\geq130\\\\\Rightarrow\ x\geq(130)/(6)\\\\\Rightarrow\ x\geq(65)/(3)\\\\\Rightarrow\ x\geq21(2)/(3)`

Hence, the inequality for x is
`x\geq21(2)/(3)` .

So, the correct option is A.
`x\geq21(2)/(3)` ..