Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn fro 7 minutes until it is less than 6 inches tall. 9 - 7x < 6

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.