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How Do You Solve an Inequality with Positive Numbers Using Multiplication?

Solve for 'n':
n/6 ≥ 7

Summary

  1. '≥' means greater than or equal to
  2. 'n' is a variable
  3. Multiply both sides by 6
  4. The 6's on the left cancel out
  5. 'n' is on the left, and 7 times 6, which is 42, is on the right
  6. To write in set-builder notation:
  7. Open our braces and write 'n' and the symbol for 'such that'
  8. Then rewrite the answer that we found
  9. Finally we close our braces

Notes

    1. 'n' is a variable
    1. Multiplication is the opposite of division
    1. Multiplication is the opposite of division
    1. 6 divided by 6 is just 1
    1. If we multiply by a negative number, then the inequality symbols flips
    1. If we multiply by a negative number, then the inequality symbols flips
    1. If we multiply by a negative number, then the inequality symbols flips
    1. 'n' is a variable
    2. Our answer is 'n ≥ 42'
    1. The vertical line, |, means such that
    2. 'n' is a variable
    1. 'n' is a variable