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WorksheetsLinear Inequalities Quiz
Total questions: 13
Worksheet time: 10mins
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]
In interval notation, the solution to –4 < x ≤ 5 is:
(–4, 5]
[–4, 5)
(–4, 5)
[–4, 5]
Which inequality matches the number line region that excludes point 1 but includes all numbers greater than 1?
x > 1
x ≥ 1
x < 1
x ≤ 1
The inequality whose solution in interval notation is (–∞, 0] is:
x < 0
x ≤ 0
x ≥ 0
x > 0
