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svlad2 [7]
3 years ago
7

Find all numbers such that three times the number is greater than eight less than the number.

Mathematics
1 answer:
klio [65]3 years ago
6 0

Answer:

ALL SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.

Step-by-step explanation:

Here, assume such number = m

Now, given :

3 times the number = 3 x ( m) = 3 m

8 less than the given number =  m - 8

Now, according to the question:

3 times the number  > 8 less than the given number

or, 3 m > m - 8

or, 3m  - m > m - 8 + m

or, 2  m > - 8

or, m > - 4

Hence, all SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.

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Step-by-step explanation:

Simplifying

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Solving

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Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

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