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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​

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mhanifa

Answer:

  • (C) negative

Step-by-step 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

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

[tex]\\ \sf\longmapsto -2\leqslant y\leqslant 5[/tex]

Endpoints=-2 and 5

Product

[tex]\\ \sf\longmapsto -2(5)=-10[/tex]

Option C is correct

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