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How Do You Use Multiplication with Positive Numbers to Solve an Inequality Word Problem?

In order to provide enough light to see at most one sixth of the lights at the skating rink can be broken. Tonight there is enough light to see and seven lights are broken. How many lights are there total in the skating rink?

Summary

  1. 'n' is a variable representing the number of lights in the skating rink
  2. 'b' is a variable representing the number of lights that are broken
  3. '≥' means greater than or equal to
  4. Solve for 'n' by multiplying both sides by 6, and the 6's cancel out on the left leaving 'n'
  5. 7 times 6 is 42

Notes

    1. 'n' is a variable representing the number of lights in the skating rink
    1. 'b' is a variable representing the number of lights that are broken
    1. This is required to be able to see in the skating rink
    2. 'n' is a variable representing the number of lights in the skating rink
    3. 'b' is a variable representing the number of lights that are broken
    1. 'b' is a variable representing the number of lights that are broken
    1. 'n' is a variable representing the number of lights in the skating rink
    1. 'n' is a variable representing the number of lights in the skating rink
    2. 'b' is a variable representing the number of lights that are broken
    1. 'n' over 6 is greater than or equal to 'b'
    2. 'n' is a variable representing the number of lights in the skating rink
    3. 'b' is a variable representing the number of lights that are broken
    1. Put a 7 anywhere you see a 'b'
    2. 'b' is a variable representing the number of lights that are broken
    1. Put a 7 anywhere you see a 'b'
    2. 'b' is a variable representing the number of lights that are broken
    1. 'n' is a variable representing the number of lights in the skating rink
    1. 'n' is a variable representing the number of lights in the skating rink
    1. If we multiply one side by a number, then the other side must be multiplied by that number
    1. 6 divided by 6 is just 1
    2. 'n' is a variable representing the number of lights in the skating rink
    1. If we multiplied by a negative number, the inequality symbol should be flipped
    1. If we multiplied by a negative number, the inequality symbol should be flipped
    1. 'n' is a variable representing the number of lights in the skating rink