10 Questions

Questions and Answers

- 1.To solve an inequality means to find all values of the variable for which the statement is true.
- A.
True

- B.
False

- 2.Solve the inequality: 4x
- A.
X ≥ 2

- B.
X ≥ -2

- C.
X ≥ -5

- D.
X ≤ -5

- 3.The following illustration represents the interval [-1, 3)
- A.
True

- B.
False

- 4.Two inequalities having exactly the same solution set are called
- 5.Write the following inequalities using interval notation: x < -4 and -2 ≤ x < 7
- A.
(-∞, -4) and [-2, 7)

- B.
(-4, ∞) and [-2, 7)

- C.
(-∞, -4) and (-2, 7)

- D.
[-∞, -4] and [-2, 7]

- 6.Fill in the blank with the correct inequality symbol: • •If x ≥ 5, then -4x
*______ -*20- A.
≥

- B.
<

- C.
>

- D.
≤

- E.
=

- 7.
- A.
15 gallons ≤ x ≤ 20 gallons

- B.
12 gallons ≤ x ≤ 20 gallons

- C.
15 gallons ≤ x ≤ 25 gallons

- D.
0 gallons ≤ x ≤ 12 gallons

- E.
12 gallons < x ≤ 20 gallons

- 8.Solve the following linear inequality graphically: -2x – 6 ≤ 8
- A.
X ≤ -7

- B.
X ≥ -7

- C.
X < 1

- D.
X ≥ -1

- 9.On the graph below, f(x)= 3x - 3 (in red) and g(x)= 12 (in blue). When is f(x) < g(x)? Write your answer in interval notation.
- 10.On the graph below, f(x)= -5 (in blue) g(x)= 4-3x (in red) and h(x)= 2 (in green) f(x) ≤ g(x) ≤ h(x) when 2/3 ≤ x ≤ 3
- A.
True

- B.
False