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Nesterboy [21]
3 years ago
12

Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?

Mathematics
2 answers:
serg [7]3 years ago
4 0

we have

2.5-1.2x < 6.5-3.2x

Group terms that contain the same variable, and move the constants to the opposite side of the inequality

3.2x-1.2x < 6.5-2.5

Combine like terms

2x < 4

x < 2

The solution is the interval-------> (-∞,2)

All real number less than 2

The answer in the attached figure

tensa zangetsu [6.8K]3 years ago
3 0
<span>2.5 – 1.2x < 6.5 – 3.2x

-1.2x + 3.2x < 6.5 - 2.5

3.2x - 1.2x < 4

2x < 4

x < 4/2

x < 2</span>
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Answer:

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3 years ago
Find (a) the number of subsets and (b) the number of proper subsets of the set.
vaieri [72.5K]

Answer:

(a) Total No. of Subsets = 128

(b) Total No. of Proper Subsets = 127

Step-by-step explanation:

First we need to define the set of days of the week.

Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

It is evident from the set of days of the week, that it contains 7 elements.

(a)

The total no. of subsets of a given set is given by the following formula:

Total No. of Subsets = 2^n

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Subsets = 2^n

Total No. of Subsets = 2^7

<u>Total No. of Subsets = 128</u>

(b)

The total no. of proper subsets of a given set is given by the following formula:

Total No. of Proper Subsets = (2^n) - 1

where,

n = no. of elements of the set = 7

Therefore,

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Total No. of Proper Subsets = (2^7) - 1 = 128 - 1

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Step-by-step explanation:

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Answer:

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3 years ago
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