Question

Write an inequality for the situation. all real numbers at most –9.5 or at least 5.5

A. –9.5 ≤ b ≤ 5.5

B. b ≥ –9.5 or b ≥ 5.5

C. b ≤ –9.5 or b ≤ 5.5

D. b ≤ –9.5 or b ≥ 5.5

Answer 1

Hello,

If b represents any real number,

b<=-9.5
or
5.5<=b


Answer C

Answer 2

option (c) is correct.

The given expression all real numbers at most –9.5 or at least 5.5 is written as b ≤ –9.5 or b ≥ 5.5

Explanation:

Given expression all real numbers at most –9.5 or at least 5.5

We have to represent the given expression mathematically and choose the correct from given options.

Consider the given expression all real numbers at most –9.5 or at least 5.5

Let the real number be represented by b

then the given expression contain two terms

1) all real numbers at most –9.5

Mathematically written as b ≤ –9.5 .....(1)

2) all real numbers at least 5.5

Mathematically written as b ≥ 5.5 ....(2)

Thus, the given expression all real numbers at most –9.5 or at least 5.5 is written as b ≤ –9.5 or b ≥ 5.5

Thus, option (c) is correct.