The heights of two buildings are represented by x and y , where x > y .

use the drop-down menus below to make each comparison true.

x + y 2x

answer options:

>

<

=

x/y y/x

answer options:

>

<

=

x+y/y 2

answer options:

>

<

=

Step-by-step explanation:

For solving the question first we need to revise the properties of inequality,

a < b ⇒ a ± c < b ± c   ∀ a, b, c ∈ R,

a < b ⇒ ca < cb if c > 0,

a < b ⇒ ca > cb if c < 0

Part 1 :

Given,

x and y are two numbers ( must be positive real numbers because they are showing the heights )

Such that, x > y,

Adding x on both sides of the inequality,

x + x > y + x

2x > y + x

⇒ x + y < 2x

Thus, SECOND option is correct.

Part 2 :

∵ x > 0 ⇒ 1/x > 0,

x > y

⇒

Similarly, y > 0 ⇒ 1/y > 0

From equation (X) and (Y),

Thus, FIRST option is correct.

Part 3 :

Now, x > y

x + y > 2y

Since, y > 0 ⇒

Thus, FIRST option is correct.

explanation:

remove parenthesis:

=

apply rule

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multiply fractions:

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divide:

=

mordancy.