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How Do You Solve an Inequality by Dividing by a Positive Number?

Solve this inequality for s: 7s ≥ 609

Summary

  1. Solve for 's' by dividing both sides by 7
  2. The 7's cancel out on the left leaving 's' by itself
  3. 609 divided by 7 is just 87
  4. Since we divided by a positive number, the inequality symbol stays the same
  5. Open up our set with a {, write our variable 's' and such that
  6. Then write our answer of 's' is greater than or equal to 87
  7. Close the set with }

Notes

    1. '≥' is a symbol that means greater than or equal to
    2. 's' is a variable
    1. 's' is a variable
    1. This is the division property of inequality
    2. Division is the opposite of multiplication
    1. The inequality is '7•s ≥ 609'
    1. 's' is a variable
    2. Divide the left side by 7
    3. 7 divided by 7 is just 1
    4. The left side is now just 's'
    1. Divide the right side by 7
    2. 609 divided by 7 is just 87
    1. If we did divide by a negative number, the inequality would flip directions
    1. If we did divide by a negative number, the inequality would flip directions
    1. 's' is a variable
    1. To open up a set we use an opening brace, {
    1. 's' is a variable
    2. The symbol '|' means 'such that'
    1. '≥' is a symbol that means greater than or equal to
    2. 's' is a variable
    1. To close a set, we use the closing brace, }