Graphing Inequalities lesson

Inequalities Lesson

Writing Inequalities

• < Menor que

  > Mayor que

  < Menor que O igual a

  > Mayor que O igual a

• < Less than

• > Greater than

• < Less than OR equal to

• > Greater than OR equal to

Multiple Choice

Which inequality means "A number greater than 2?"

¿Qué desigualdad significa Un número mayor que 2"?

• x > 2

• x < 2

Multiple Choice

Which inequality means "A number less than 7?"

¿Qué desigualdad significa "Un número menor que 7"?

• x > 7

• x < 7

Multiple Choice

How would I write "a number less than OR equal to 2"

¿Cómo escribiría "un número menor o igual que 2"?

• x < 2

• x > 2

• x > 2

• x < 2

Multiple Choice

Which inequality means "A number greater than OR Equal to 8?

¿Qué desigualdad significa "Un número mayor que O igual a 8?

• c < 8

• c > 8

• c > 8

• c < 8

Graphing Inequalities

Utilizarás un círculo cerrado (sombreado) en la recta numérica para ≤ o ≥

Utilizarás un círculo abierto (sin sombrear) en la recta numérica para < o >

  

You will use a closed (shaded) circle on the number line for ≤ or ≥

  

You will use a open (unshaded) circle on the number line for < or >

  

Multiple Choice

Would I use a closed circle or an open circle on the number line for x ≥ 7?

Utilizaría un círculo cerrado o un círculo abierto en la recta numérica para x ≥ 7?

• Closed (shaded) circle

  Círculo cerrado (sombreado)

• Open (unshaded) circle

  Círculo abierto (sin sombrear)

Multiple Choice

Would I use a closed circle or an open circle on the number line for x < 6?

¿Utilizaría un círculo cerrado o un círculo abierto en la recta numérica para x < 6?

• Closed (shaded) circle

  Círculo cerrado (sombreado)

• Open (unshaded) circle

  Círculo abierto (sin sombrear)

Graphing Inequalities

Utilizarás una flecha -----> para representar gráficamente desigualdades que utilicen > o ≥

Utilizarás una flecha <----- para graficar desigualdades que utilicen < o ≤

You will use a -----> arrow to graph inequalities that use > or ≥

 

You will use a <----- arrow to graph inequalities that use < or ≤

Multiple Choice

Use what you know about the direction of the arrow...which direction will the arrow point for x ≤ 5 ?

Utiliza lo que sabes sobre la dirección de la flecha... ¿en qué dirección apuntará la flecha para x ≤ 5 ?

Multiple Choice

Use what you know about the direction of the arrow...which direction will the arrow point for x > 10 ?

Utiliza lo que sabes sobre la dirección de la flecha... ¿en qué dirección apuntará la flecha para x > 10 ?

Multiple Select

If the arrow is pointing to the left, as shown, which inequalities could it be graphing?

*Choose 2 answers*

• x < 4

• x > 4

• x < 4

• x > 4

Steps or questions to ask yourself

What is the comparing number?
Is it greater than or less than?
Is the comparing number included "equal to" (open or shaded)
What direction does the arrow go in?

Graphing

• Notice that the green line points to the right

• So any number larger than 2 is a solution

• Notice that there is a green shaded dot (Closed circle) on 2

• That means 2 is also a solution

• Possible solutions are 2 or any numbers larger than 2

• x > 2

Graphing

• Notice that the orange line points to the left

• So any number smaller than 3 is a solution

• Notice that there is a non shaded white dot (open circle) on 3

• That means 3 is not a solution

• Possible solutions are any numbers smaller than 3

• x < 3

Multiple Choice

Which inequality matches the graph?

• x > 5

• x < 5

• x > 5

• x < 5