Answer :
complete question:
Solve the inequality that represents the story. Then interpret what the solution means in the story.
Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn for 7 minutes until it is less than 6 inches tall.
9 - 7x < 6
Answer:
x > 3/7
x which is the inches per minute the candle will burn should be greater than 3/7 for the candle to be less than 6 inches tall.
Step-by-step explanation:
The candle is 9 inches and it burns down x inches per minute. Lin wants to let the candle burn for 7 minutes until it is less than 6 inches tall. The inequality can be solved below.
9 - 7x < 6
subtract 9 from both sides of the equation
9 - 9 - 7x < 6 - 9
- 7x < - 3
divide both sides by -7
- 7x / -7 < - 3/ - 7
dividing both sides with a negative values changes the inequality sign
x > 3/7
x which is the inches per minute the candle will burn should be greater than 3/7 for the candle to be less than 6 inches tall.