One-Step Inequalities

When solving an inequality, use the inverse/opposite operation, just like when solving equations (except for a small exception that we will review later!).

• Got it!

• Oh! I remember that now!

x + 5 > 7

• 
  x > -2

• 
  x > 2

• 
  x > 12

• 
  x > -12

-4 + y < -8

• 
  y < 4

• 
  y < -12

• 
  y < -4

• 
  y < 12

• -5 + z < 15

• 
  z < 20

• 
  z > 20

• 
  z > 10

• 
  10 > z

24 ≤ h + 15

• 
  h ≥ -9

• 
  h ≥ 9

• 
  h ≤ 9

• 
  h ≤ 39

32 ≥ -16p 

• p ≥ 2

• 
  p ≥ -2

• 
  p ≤ -2

• p < 48

z/3 ≤ 3

• 
  z ≤ 1

• 
  z > 9

• 
  z ≤ 9

• 
  z < 9

Here's the exception! When you multiply or divide both sides of the inequality by a negative number, you must flip/reverse the inequality sign!

• Got it!

• Hmmm, I hope I remember. Feeling shaky!

b ÷ 2 > -4

• 
  b < -8

• 
  b ≥ -8

• 
   b > -8

• 
  b > -2

8x < 48

• 
  x < -6

• 
  x > -6

• 
  x < 6

• 
  x > 6