Basic Compound Inequalities

Solutions to compound inequalities with an "and" statement must be a solution to....

• both inequality statements
• neither inequality statements
• only one inequality statement
• None of the above are true

Tags

CCSS.HSA.REI.B.3

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5
• x ≤ -2 OR x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x < 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.12

Write an inequality for Graph 2.

• -2 ≤ x < 5
• x ≤ -2 AND x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x ≤ 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.12

Write the inequality in interval notation.

• [-4, -1)
• (-4, -1)
• (-4, -1]
• [-4, -1]

Write the following in interval notation
-7 ≤ x < 8

• (-7, 8)
• [-7, 8)
• [-7, 8]
• (-7, 8]

(-2,12) can be written in inequality notation as:

• -2 < x > 12
• -2 > x > 12
• -2 < x <12
• -2 ≤ x ≤ 12

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

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

[-1,1) can be written as:

• -1 ≤ x >  1
• -1 ≤ x < 1
• -1 ≥ x >1
• 1 ≥ x < 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Which interval matches the graph?

• (-3, 1]
• [-3, 1)
• (-3, 1)
• [-3, 1]

Which Interval matches the graph?

• (1, 8)
• [1, 8]
• (1, 8]
• [1, 8)