Question

If 1 ≤ −x < 5, x is an integer then the sum of smallest and greatest values of x is ______.

Options

• −5

• −4

• −3

• 0

Answer 1

If 1 ≤ −x < 5, x is an integer then the sum of smallest and greatest values of x is −5.

Explanation:

Given,

⇒ 1 ≤ −x < 5

⇒ −5 < x ≤ −1

Since, x is an integer

The possible integer values are: {−4, −3, −2, −1}

The sum of smallest and greatest values = −4 + (−1) = −5