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Volgvan
2 years ago
12

Select the correct answer. What is the solution to |x − 6| ≥ 5? A. 1 ≤ x ≤ 11 B. -11 ≤ x ≤ 1 C. x ≥ 11 or x ≤ 1 D. x ≥ 1 or x ≤

-11
Mathematics
1 answer:
diamong [38]2 years ago
5 0

The absolute value of a number <em>a</em> is written as  |a|  . And represents the distance between a and 0 on a number line.

So, Option C. x≥ 11 or x ≤ 1 is correct answer

Inequality given is,

                              |x − 6| ≥ 5

Taking <em>positive case,</em>

                               x − 6 ≥ 5

                               x − 6 + 6 ≥ 5 + 6

                                x ≥ 11

Taking <em>negative case,</em>

                                 x − 6 ≤  - 5

                                x - 6 + 6 ≤ -5 + 6

                                   x ≤ 1

So, solution of given inequality is  x ≥ 11 or   x ≤ 1

Learn more:

brainly.com/question/1779337

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Explanation: -2 is an integer because integers include positive an negative numbers. It would not be a whole number or a Naural number because both of those sets only include positive numbers. Here’s a better explanation:

Natural numbers: Natural Numbers are like (1,2,3....). They only include positive numbers. Therefore, -2 does not belong in this category.

Whole Numbers: Whole Numbers are like (0,1,2,3....). They include all the natural numbers with 0. Therefore, -2 does not belong in this set.

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So, -2 belongs in Integers and Rational Numbers

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3 0
3 years ago
Mrs Davis worked 42 hr 35 min last week how many hours and minutes did she average in each of the five days
gayaneshka [121]

Answer:

8 hours and 31 minutes per day

Step-by-step explanation:

\implies 42 \text{hours} \times 60\text{minutes}=2,250 \text{minutes}

\implies2,520 +35 = 2,555

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\implies 511/60 = 8 \frac{31}{60}  = 8\text{hours}, 31 \text{minutes per day}

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