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devlian [24]
3 years ago
15

solve the compound inequality. graph your solution. 2x – 2 < –12 or 2x 3 > 7 a. x < –5 or x > 2 b. x < –12 or x &

gt; 2 c. x < –5 or x > 5 d. x < –7 or x > 5
Mathematics
1 answer:
Kisachek [45]3 years ago
6 0
2x - 2 < -12 or 2x + 3 > 7
2x < -12 + 2 or 2x > 7 - 3
2x < -10 or 2x > 4
x < -5 or x > 2
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Answer:

M  =  a \times 10^7  where 1 < a ≤ 9

The EXPONENT USED BY PETER is 7 in all the possible cases.

Step-by-step explanation:

Let us assume the needed number is M.

Also, given:

The needed number is GREATER than 10 Million.

⇒ M  > 10 Million

⇒ M > 10,000,000

⇒ M > 1 \times 10^7  ...... (1)

The needed number is SMALLER than 100 Million.

⇒ M  <  100 Million

⇒ M < 100,000,000

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Comparing (1) and (2) we can see that M can have more than 7 zeroes after 1 but LESS than 8 zeroes after 1.

So, the possible values of M can be:

M  =  a \times 10^7  where 1 < a ≤ 9

So, the EXPONENT USED BY PETER is 7 in all the possible cases.

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