Multi Step Inequalities

< ≤ Points to the Left - Less

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> ≥ Points to the Right - gReater

• Find the number where you have your circle

• Is the circle

  Ο empty (< or >)

  ⊗ filled (≤ or ≥)

• Points Left means Less (< or ≤)

• Points Right means gReater (> or ≥)

​subtract 7 from both sides

​add 8 to both sides

​subtract 6 from both sides

​add 5 to both sides

divide both sides by 6

multiply both sides by 4

multiply both sides by -3

divide both sides by -7

• The symbol is less or equal

• Undo subtraction by adding 5 to both sides

• Undo multiplication by dividing by 3 on both sides

• Graph on the number line

• Circle is filled and arrow points to the left

• Symbol gReater or equal to (points to the Right)

• Undo subtraction by adding 3 to both sides

• Undo division by multiplying by 6 both sides

• Graph on the number line

• Circle is filled and arrow points to the right

​Inequalities with variables on BOTH SIDES

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• Move all variable terms to the LEFT side of the inequality and all constant terms to the RIGHT side

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• (Mueve todos los términos variables a la izquierda de la desigualdad y todas las constantes a la derecha)​

​4 Steps to Solve Multi-Step Inequalities

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1. Use the distributive property if possible

   (Usa la propiedad distributiva si es posible)

2. Combine like terms

   (Combine términos semejantes)

3. Move variable terms to the left and constants to the right.

   (Mueve los términos variables a la izquierda y las constantes a la derecha de la desigualidad)

4. Solve the simplified equation using inverse operations.

   (Resuelve la ecuacion simplificada usando operactiones inversas)​

I am glad we are on this adventure together!​