Inequalities and Sets

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 )

When writing a solution in interval notation, what brackets do i use for:

> or <

• [ ]

• ( )

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]

Write the following solution in interval notation:

z < 20

• ( -∞ , 20 )

• ( 20,∞)

• ( -∞ , 20)

• ( -∞ , 20]

Write the following solution in interval notation:

x ≥ 6

• ( -∾ , 6]

• ( -∾ , 6 )

• ( 6, ∾ )

• [ 6, ∾ )

When graphing an inequality solution, what type of circle do I draw for the symbol:

> or <

• open circle

• closed circle

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.