Inequalities Quiz

Question 1

What does the inequality symbol > mean?

Accepted Answer

Greater than

Answer

Less than

Answer

Less than or equal to

Answer

Greater than or equal to

Question 2

Solve: x + 3 > 7

Accepted Answer

x > 4

Answer

x > 10

Answer

x < 4

Answer

x ≥ 4

Question 3

Solve: 2x − 5 ≤ 9

Accepted Answer

x ≤ 7

Answer

x ≤ 2

Answer

x ≤ 5

Answer

x ≤ 14

Question 4

What happens to the inequality sign when you multiply or divide both sides by a negative number?

Accepted Answer

The sign reverses (flips)

Answer

Nothing changes

Answer

The sign becomes =

Answer

The sign becomes ≠

Question 5

Solve: −3x > 12

Accepted Answer

x < −4

Answer

x > −4

Answer

x > 4

Answer

x < 4

Question 6

On a number line, how is x ≥ 3 represented?

Accepted Answer

Closed circle at 3, arrow going right

Answer

Open circle at 3, arrow going right

Answer

Open circle at 3, arrow going left

Answer

Closed circle at 3, arrow going left

Question 7

Which integer values satisfy −2 < x ≤ 3?

Accepted Answer

−1, 0, 1, 2, 3

Answer

−2, −1, 0, 1, 2, 3

Answer

−2, −1, 0, 1, 2

Answer

0, 1, 2, 3

Question 8

Solve: 3x + 1 > x + 9

Accepted Answer

x > 4

Answer

x > 5

Answer

x > 3

Answer

x > 8

Question 9

What does the notation {x : x > 5} mean?

Accepted Answer

The set of all x such that x is greater than 5

Answer

x times x is greater than 5

Answer

x divided by x equals 5

Answer

5 is greater than x

Question 10

Solve the double inequality: 1 ≤ 3x − 2 < 13

Accepted Answer

1 ≤ x < 5

Answer

1 < x ≤ 5

Answer

0 ≤ x < 5

Answer

1 ≤ x ≤ 5

Question 11

Which of these is NOT a solution to 2x + 3 > 11?

Accepted Answer

x = 4

Answer

x = 5

Answer

x = 10

Answer

x = 100

Question 12

Solve: 5 − 2x ≥ 1

Accepted Answer

x ≤ 2

Answer

x ≥ 2

Answer

x ≥ −2

Answer

x ≤ −2

Question 13

Find all integers n such that n² < 25.

Accepted Answer

n = −4, −3, −2, −1, 0, 1, 2, 3, 4

Answer

n = 0, 1, 2, 3, 4

Answer

n = 1, 2, 3, 4

Answer

n = −5, −4, ..., 4, 5

Question 14

Solve: x/4 − 1 > 2

Accepted Answer

x > 12

Answer

x > 4

Answer

x > 8

Answer

x > 16

Question 15

In the region y > 2x + 1 on a coordinate graph, how is the boundary line y = 2x + 1 drawn?

Accepted Answer

Dashed line, shade above

Answer

Solid line, shade above

Answer

Solid line, shade below

Answer

Dashed line, shade below

Question 16

Solve: 4(x − 1) ≤ 2x + 6

Accepted Answer

x ≤ 5

Answer

x ≤ 10

Answer

x ≤ 4

Answer

x ≤ 3

Question 17

A taxi charges £3 plus £2 per km. Jane has £15. What is the maximum distance she can travel?

Accepted Answer

6 km

Answer

5 km

Answer

7 km

Answer

8 km

Question 18

Which inequality represents 'x is at least 5'?

Accepted Answer

x ≥ 5

Answer

x > 5

Answer

x < 5

Answer

x ≤ 5

Question 19

The inequality −1 ≤ x < 4 is shown on a number line. What is the length of this interval?

Accepted Answer

5

Answer

3

Answer

4

Answer

6

Question 20

Solve: 3 < 2x + 1 ≤ 9

Accepted Answer

1 < x ≤ 4

Answer

2 < x ≤ 4

Answer

1 < x < 4

Answer

1 ≤ x ≤ 4