Solving 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

Solve and graph:

• A
• B
• C
• D

Solve:

• A
• B
• C
• D

0 < x + 7 < 9

• -7<x   and   x<2
• -7<x   or   x<2
• -7>x   and   x>2
• -7>x  or   x>2

Which number is not a possible solution to the compound inequality -5 < x ≤ 0

• -3
• -1
• 0
• -5

Solve the compound inequality:
-2 < 3x -5 ≤ 4

• -1 < x ≤ 3
• 1 ≤ x ≤ 7
• 1 < x ≤ 3
• -2/3 < x ≤ 4/3

-123< 3n + 11 ≤-27

• (-10, -2)
• (-10, -2]
• [-10 , -2]
• [-10, -2)

Solve:  2x - 8 ≤ 4  AND x + 5 ≥ 7

• 2 < x < 6
• x ≤ 2 or x ≥ 6
• x < 2 or x > 6
• 2 ≤ x ≤ 6

44≤ 2 - 7n ≤79

• -11 ≤ n ≤ -6
• -6 < n ≤ 3
• n ≤ 3
• -6 ≤ n ≤ -11

5 + 9x < -76 or -6 + x ≥ 6

• x < -9 or x ≥ 0
• x > -9 or x ≥ 12
• -9 < x ≤ 12
• x < -9 or x ≥ 12