If x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3), then which statement is true? a. x + 12 ≤ 2(5 − y) b. x + 12 ≤ 2x − 3 c. x + 12 ≤ 2(x − 3) d. x + 12 ≤ y − 5

The correct option is,

C. x + 12 ≤ 2(x − 3)

Step-by-step explanation:

Given inequalities,

x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3)

Let a = x + 12, b = 5 - y and c = 2(x-3)

Here, a ≤ b and b ≤ c

Since, by using the transitive property of inequality,

⇒ a ≤ c

⇒ x + 12 ≤ 2(x − 3)

Therefore, OPTION C is correct.

answer: this is not a question

step-by-step explanation: this is a answer