Linear Inequalities Quiz

On the number line, which region represents the solution of x > 3?

• Shade to the right of 3 (open)

• Shade to the left of 3 (closed )

• Shade at point 3 only

• Shade to the left of 3 (open )

The solution set of inequality 2x – 5 ≤ 1 in interval notation is:

• [3, ∞)

• (–∞, 3]

• (–∞, 2)

• [2, ∞)

The number line shows all points ≤ 4. Which inequality represents this?

• x ≥ 4

• x ≤ 4

• x > 4

• x < 4

Which of the following inequalities has the solution represented by interval (–∞, 5)?

• x > 5

• x < 5

• x ≥ 5

• x ≤ 5

For which inequality does the point x = –2 lie in the solution region?

• x > –1

• x < –1

• x ≥ –1

• x ≤ –1

The inequality 3x + 6 ≥ 0 is equivalent to:

• x ≥ –2

• x ≤ –2

• x > –2

• x < –2

Which interval represents solution of inequality x/2 < 3?

• (–∞, 6)

• [–∞, 6)

• (–∞, 6]

• [–∞, 6]

The solution set of the inequality –x + 7 > 3 in interval notation is:

• (–∞, 4)

• (4, ∞)

• [4, ∞)

• (–∞, 4]

Which inequality corresponds to the interval (–3, 7]?

• –3 < x ≤ 7

• –3 ≤ x < 7

• x < –3 or x ≥ 7

• –3 ≥ x > 7

The set of all real numbers except those less than or equal to 2 can be written as:

• (2, ∞)

• [2, ∞)

• (–∞, 2)

• (–∞, 2]