Solve 47x−27>57 . Write the rational number in your answer as a mixed number. Make sure to write your inequality so that x comes first.

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Answer 1

To solve the inequality 47x − 27 > 57, first, we need to isolate the x variable.

Here are the steps:

1. Add 27 to both sides of the inequality:

47x − 27 + 27 > 57 + 27

47x > 84

2. Next, divide both sides of the inequality by 47:

47x / 47 > 84 / 47

x > 84/47

Now let's convert the improper fraction 84/47 into a mixed number:

84 ÷ 47 = 1 with a remainder of 37.

Therefore, x > 1 37/47.

Writing the inequality so that x comes first:

x > 1 37/47