# How do you solve #(36+ k)/5 <51#?

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To solve the inequality ((36 + k)/5 < 51), you can follow these steps:

- Multiply both sides of the inequality by 5 to eliminate the fraction:

[5 \times \frac{{36 + k}}{5} < 51 \times 5]

- Simplify:

[36 + k < 255]

- Subtract 36 from both sides to isolate (k):

[k < 255 - 36]

- Simplify:

[k < 219]

So, the solution to the inequality is (k < 219).

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