inequalities

• solve 14n > 11n + 6?


  1. Smallest n, take away (-11n) = 3n > 6
  2. Divide both sides (to get to n) = n > 2
  3. Answer = n > 2
• solve 2p ≤ 18?


  1. Divide by 2 because you want p by itself
  2. Answer = p ≤ 9
• Solve 3r - 13 > 14

  1. Balance out the equation (make it equal), + 13 to both sides = 3r > 27
  2. Divide by 3 (you want r by itself) = r > 9
  3. Answer += r > 9
•  ≥ means?

  Greater than or equal to
• ≤ means?

  Less than or equal to.
• < means?

  Less than
• > means?

  Greater than
• Solving equalities, what is key?

  BALANCE, WANT BY ITSELF
• Solve 3n + 8 ≥ 35?


  1. Balance, -8 = 3n ≥ 27
  2. By itself, divide by 3 = n ≥ 9
  3. Answer = n ≥ 9
• Solve -3x + 18 ≥ 6?

  1. Balance (+3x) = +18 ≥ 6 + 3x
  2. We want x by ITSELF (-6 to both sides) = 12 ≥ 3x
  3. X by ITSELF (divided by 3 both sides) = 4 ≥ x

  Flip = x  ≤ 4