Inequalities and Notation

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 | y > 10 }

• { y | y < 10 }

• ( -0, 10 )

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

3x + 2 < -7 or -4x + 5 < 1

• All real numbers

• x < -3 and x > 1

• x < -3 or x < 1

• x < -3 or x > 1

Solve and give the final solution set:

5x + 1 < 21 OR 3x + 2 > -1

• All real numbers

• -1 < x < 4

• No solution

• x > 4 or x < -1

Pick the correct letter for:
6 > x

• A

• B

• C

• D

Write in interval notation.

What inequality is graphed? 

• x > 2 and x ≤ -3

• x > 2 and x < -3

• x > 2 or x ≤ -3

• x > 2 or x < -3

• A
• B
• C
• D

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

• ≤, ≥ 

• <, >

• ≤, <

• ≥, >