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How Do You Solve an Inequality Using Addition?

Solve this inequality for m:
m - 28.35 ≥ 6.75

Summary

  1. '≥' is a symbol that means greater than or equal to
  2. 'm' is a variable
  3. Solve for 'm' by adding 28.35 to both sides
  4. The 28.35's cancel out on the left, leaving 'm' by itself
  5. 6.75 plus 28.35 is 35.10 on the right
  6. Open up our set with a {, write our variable 'm' and such that
  7. Then write our answer of 'm' is greater than or equal to 35.10
  8. Close the set with }

Notes

    1. '≥' is a symbol that means greater than or equal to
    2. 'm' is a variable
    1. 'm' is a variable
    1. This is the addition property of inequality
    1. The inequality is 'm - 28.35 ≥ 6.75'
    2. Addition is the opposite of subtraction, and we can undo subtraction with addition
    1. 'm' is a variable
    2. Add 28.35 to the left side
    3. -28.35 plus 28.35 is equal to 0
    4. Now we have 'm' by itself on the left side
    1. Add 28.35 to the right side
    2. 6.75 plus 28.35 is 35.10, which is now the right hand side
    1. 'm' is the variable we were solving for
    1. To open up a set we use an opening brace, {
    1. The symbol '|' means 'such that'
    1. '≥' is a symbol that means greater than or equal to
    1. To close a set, we use the closing brace, }