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Dmitriy789 [7]
2 years ago
8

If x is a positive integer, give possible values of x for inequality 5 > 2x – 3

Mathematics
1 answer:
Molodets [167]2 years ago
3 0

9514 1404 393

Answer:

  {1, 2, 3}

Step-by-step explanation:

Here's the solution to the inequality:

  5 > 2x -3

  8 > 2x . . . . . add 3

  4 > x . . . . . . divide by 2

Positive integers less than 4 are ...

  {1, 2, 3} . . . possible values of x

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grandymaker [24]

Answer:  6i) 6a² - 2ab

               6ii) -2b³

               6iii) b³ + 7b² - 49b

<u>Step-by-step explanation:</u>

6i)   (a + b)(5a - 3b)             +    (a - 3b)(a - b)

=    5a² - 3ab + 5ab - 3b²   +    a² - ab - 3ab + 3b²

=    5a² + 2ab - 3b²             +   a² - 4ab + 3b²

= 6a² - 2ab

6ii)    (a - b)(a² + b² + ab)              -  (a + b)(a² + b² - ab)

=   a³ + ab² + a²b - ab² - a²b - b³ -  (a³ + ab² - a²b -ab² + a²b + b³)

=   a³ - b³                                      -  (a³ + b³)

=   a³ - b³                                      - a³ - b³

= -2b³

6iii) (b² - 49)(b + 7)             +     343

=     b³ + 7b² - 49b - 343    +    343

=     b³ + 7b² - 49b

You are allowed a maximum of 3 questions.

Please post #7 on a different question.

5 0
3 years ago
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