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How Do You Use Multiplication with Negative Numbers to Solve an Inequality Word Problem?
In laser tag you get negative one third of a point every time you shoot a member of your own team. If a team has a total score of negative seven what is the number of times they could have shot their own members?
Summary
- 'n' is the variable that represents the number of times your team shot its own team mates
- Now we have an inequality involving our variable 'n'
- If you multiply one side by -3, you have to multiply the other side with -3 too!
- Multiplying by a negative number flips the inequality symbol
- 'n' is the number of times a team mate is shot, so write that down for the units

Notes
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- 'n' is the variable that represents the number of times your team shot its own team mates
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- Negative one third can be written as -1/3
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- Negative one third of a point for every 'n'
- 'n' is the variable that represents the number of times your team shot its own team mates
- This expression is the team's negative score
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- This is the first step to realizing that we need an inequality
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- The final score of -7 must include both the positive scores and the negative scores
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- 'n' is the variable that represents the number of times your team shot its own team mates
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- We have to multiply both sides by -3 because of the multiplication property of inequality
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- 'n' is the variable that represents the number of times your team shot its own team mates
- Multiplying both sides by -3
- Gives us 'n' on the left side, and 21 on the right side
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What was
≤ in the equation becomes≥
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What was
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- 'n' has units, so don't forget to write those down!