Inequalities Review

What inequality is graphed? 

• x > 2 and x ≤ -3
• x > 2 and x < -3
• x > 2 or x ≤ -3
• x > 2 or x < -3

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

• All real numbers

• x ≥ -5 and x < 4

• x > 5 and x > 4

• x < 5 and x < 4

Solve:

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

• No Solution

• x > -3 or x < 1

• x < -3 or x < 1

• x < -3 or x > 1

Which of the following would result in NO SOLUTION?

• x < 1 or x > 5

• x > 1 or x < 5

• x < 1 and x > 5

• x > 1 and x < 5

Which of the following would result in ALL REAL NUMBERS as the solution set?

• x > 4 or x < 10

• x < 4 or x > 10

• x > 4 and x < 10

• x < 4 and x> 10

54x + 64 ≥ 49x + 59

• x≥−1
• x≤-1
• x>9
• x<-3

4(2a + 3) < 3(a - 1)

• a < -3
• a > -3
• a < 3
• a > 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

Solve:

3x + 2 < -4 or 4x + 4 > 24

• x < -2 or x > 5

• x < -2 and x > 5

• x < 2 or x > 5

• x < 2 and x > 5