Question 1

LEVEL 4

Which value of x satisfies the following inequality?:

10\leq x \leq 20

Select the correct answer from the list below.

A: 10

B: 9

C: 21

D: 22

CORRECT ANSWER:   A: 10

WORKED SOLUTION:

The non-strict inequality signs are represented as filled in circles on a number line.

This means x can take any value between, and including, 10 and 20.

Hence the only answer from the list that satisfies this condition is A: 10

Question 2

LEVEL 4

Which value of x does not satisfy the following inequality?:

3\leq x < 8

Select the correct answer from the list below.

A: 8

B: 6

C: 4

D: 3

CORRECT ANSWER:  A: 8

WORKED SOLUTION:

The non-strict inequality signs are represented as filled in circles on a number line.

The strict inequality signs are represented as open circles on a number line.

This means x can take any value greater than and including 3, up to but not including 8

Hence the only answer from the list that does not satisfy this condition is A: 8

Question 3

LEVEL 4

Find the inequality described on the number line below.

Select the correct answer from the list below.

A: x\geq 5

B: x\geq -5

C: x< -5

D: x> -5

CORRECT ANSWER:   B: x\geq -5

WORKED SOLUTION:

The non-strict inequality signs are represented as filled in circles on a number line.

This means x can take any value greater than and including -5

Question 4

LEVEL 4

Find the inequality described on the number line below.

Select the correct answer from the list below.

A: x\leq -2

B: x> -2

C: x\geq -2

D: x< -2

CORRECT ANSWER:  C: x\geq -2

WORKED SOLUTION:

The non-strict inequality signs are represented as filled in circles on a number line.

This means x can take any value greater than and including -2

Question 5

LEVEL 4

Find the inequality described on the number line below.

Select the correct answer from the list below.

A:  -6\geq x \leq6

B: -6> x < 6

C: -6\leq x \leq6

D:  -6\geq x \geq6

CORRECT ANSWER: C: -6\leq x \leq6

WORKED SOLUTION:

The non-strict inequality signs are represented as filled in circles on a number line.

This means x can take any value greater than and including -6, up to and including 6.