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 \( 47x - 27 > 57 \), first, we will isolate \( x \).

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

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

Next, we can simplify \(\frac{84}{47}\) to see if it can be converted to a mixed number.

Calculating \(84 \div 47\):

• \(84\) divided by \(47\) is approximately \(1.787\), which means \(84 = 47 \times 1 + 37\):
• So, \(84 = 47 \cdot 1 + 37\).

Thus, we can write: \[ \frac{84}{47} = 1 \frac{37}{47} \]

Finally, we can write the solution as: \[ x > 1 \frac{37}{47} \]

So the final answer, with \( x \) coming first, is: \[ x > 1 \frac{37}{47} \]

Answer 2

4/7x-2/7>5/7