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.

Answer 1

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

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

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

3. Convert \( \frac{84}{47} \) into a mixed number:

   • Divide 84 by 47. It goes 1 time with a remainder: \[ 84 - 47 = 37 \]
   • Therefore, \( \frac{84}{47} = 1 \frac{37}{47} \).

Now, writing the inequality with \( x \) first gives:

\[ x > 1 \frac{37}{47} \]