Inequalities and Notation

Write the following solution in interval notation:

x ≥ -3

• [ -3, ∞ )

• ( -3, ∞ )

• ( -∞ , -3 )

• ( -∞ , -3]

Solve the inequality.

x + 5 ≤ 13

• [8, ∞)

• [18, ∞)

• (-∞, 8]

• (-∞, 18]

Which compound inequality is graphed above?

• 5 < x < 9

• 9 < x > 5

• 5 ≤ x ≥ 9

• 5 ≥ x ≥ 9

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

• [-4, -1)

• (-4, -1)

• (-4, -1]

• [-4, -1]

Given:

x ≤ -10

Is -100 a solution?

• Yes, it is a solution.

• No, it is not a solution.

Solve:
 |x + 3| > 8

• x > 5 or x < -11

• x > 5

• all real numbers

• no solution

Solve:
|x + 4| - 8 > 2

• x > 6 and x < 10

• x > 6 or x < -14

• all real numbers

• no solution

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers

• all real numbers
• no solution
• 0 < v < 6⁄7
• 0 ≤ v ≤ 6/7

Which of the following is the solution of the given Quadratic Inequality?

• 5 < y < 12

• 7 < y < 10

• 8 < y < 9

• 6 < y < 11