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WAEC Mathematics 2014 Paper

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Question : 6

Total: 49

Given that x > y and 3 < y, which of the following is/are true? i. y > 3 ii. x < 3 iii. x > y > 3

i
i and ii
i and iii
i, ii and iii

Solution:

Concept:

Use the transitive property of inequalities to compare

x

,

y

, and

3

.

Explanation:

Given:

x > y

and

3 < y

.

The inequality

3 < y

is the same as

y > 3

. So statement i is true.

Since

x > y

and

y > 3

, combining these gives

x > 3

.

So statement ii,

x < 3

, is false.

Also,

x > y

and

y > 3

together imply

x > y > 3

. So statement iii is true.

Thus only i and iii are correct.

Answer:

Option C: i and iii.

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