Chapter 1 Review (New)

Write the following solution in set builder notation:

x ≥ -2

• { x | x ≥ 2 }

• { x | x ≥ -2 }

• { x ≥ -2 }

• { x | x ≤ -2 }

Write the following solution in set builder notation:

y > 10

• { y > 10 }

• { y | y > 10 }

• { y | y < 10 }

• ( -0, 10 )

Write the following solution in interval notation:

x ≥ -3

• [ -3, ∞ )

• ( -3, ∞ )

• ( -∞ , -3 )

• ( -∞ , -3]

Write the following solution in interval notation:

x ≥ 6

• ( -∾ , 6]

• ( -∾ , 6 )

• ( 6, ∾ )

• [ 6, ∾ )

Why do I draw a closed circle when it's less than or equal to or greater than or equal to?

• Because we are INCLUDING that solution

• Because we are NOT INCLUDING that solution

Given:

x ≤ -10

Is -25 a solution?

• Yes, it is a solution.

• No, it is not a solution.

Given:

x > 15

Is -25 a solution?

• Yes, it is a solution.

• No, it is not a solution.

Express the following in Interval Notation
-8 ≤ x < 8

• [-8, 8]
• [-8,8)
• (-8, 8]
• (-8, 8)

Look at the graph. Write the inequality in interval notation.

• (-2,5)
• (-∞,-2)⋃(5,∞)
• [-2,5]
• (-∞,-2]∪[5,∞)

Write the following in interval notation
x < 3 or x ≥ 5

• (3, -∞) or (∞, 5]
• [-∞, 3) or [5, ∞]
• (-∞, 3) or [5, ∞)
• (3, -∞] or [∞, 5]