Question

In the inequality "y is less than or equal to 5 and is greater than or equal to -2," the product of the endpoints will be which of the following?

(A) odd
(B) positive
(C) negative
(D) None of the above​

Answer 1

y is less than or equal to 5 and greater than or equal to 2.

• Less than or equal to means we use <= sign
• Greater than or equal to means we use >=sign.

The expression is

`\\ \sf\longmapsto -2\leqslant y\leqslant 5`

Endpoints=-2 and 5

Product

`\\ \sf\longmapsto -2(5)=-10`

Option C is correct

Answer 2

• (C) negative

Explanation:

Inequality "y is less than or equal to 5 and is greater than or equal to -2":

• - 2 ≤ y ≤ 5

This is the interval:

• y ∈ [- 2, 5]

The endpoints are:

• - 2 and 5

Product of the endpoints:

• - 2 × 5 = - 10

Answer choices:

• (A) odd ⇒ False, - 10 is even
• (B) positive ⇒ False, - 10 is not positive
• (C) negative ⇒ True
• (D) None of the above​ ⇒ False, option C is correct