Solving & Graphing Inequalities

 When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 

• <, >

You flip an inequality symbol when you...

• subtract
• multiply and divide by any number

• subtract or multiple by a negative number

• multiple or divide by a negative number

When writing in interval notation, what kind of brackets do I use for:

or ≤ or ≥

• [ ]

• ( )

Write the following solution in interval notation:

x ≥ -3

• [ -3, ∞ )

• ( -3, ∞ )

• ( -∞ , -3 )

• ( -∞ , -3]

What interval notation does the number line graph represent?

• [∞, -5)
• (∞, -5)
• [-5, ∞)
• (-5, ∞)

Solve the inequality.

x + 5 ≤ 13

• [8, ∞)

• [18, ∞)

• (-∞, 8]

• (-∞, 18]

10 ≥ x - 3

• x ≤ 13
• x ≥ 13
• x ≤ 7
• x ≥ 7

Write the following solution in interval notation:

z < 20

• ( -∞ , 20 )

• ( 20,∞)

• ( -∞ , 20)

• ( -∞ , 20]

What inequality does the number line graph represent?

• x < -4
• x < 4

• b > 20

• b > 6

• b > 14

• b > 20