Solve 47x−27>57

Question

. Write the rational number in your answer as a mixed number. Make sure to write your inequality so that x
comes first.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.

(1 point)

Answer 1

To solve the inequality \( 47x - 27 > 57 \), follow these steps:

1. Add 27 to both sides: \[ 47x - 27 + 27 > 57 + 27 \] Simplifying gives: \[ 47x > 84 \]

2. Divide both sides by 47: \[ x > \frac{84}{47} \]

Next, simplify \( \frac{84}{47} \) as a mixed number. Since 84 divided by 47 equals 1 with a remainder (84 - 47 = 37), we can express it as: \[ \frac{84}{47} = 1 \frac{37}{47} \]

Thus, the solution can be written as: \[ x > 1 \frac{37}{47} \]

In standard inequality format with \( x \) first, we write: \[ x > 1 \frac{37}{47} \]