3 years ago

Solve (x - 2 < 5) ∩ (x + 7 > 6)

Mathematics

1 answer:

Otrada [13]3 years ago

6 0

Answer:

(-1 , 7)

Step-by-step explanation:

Read the symbol ∩ as the word "AND"

x-2 < 5 AND x+7 > 6

x< 5+2 AND x > 6-7

x < 7 AND x > -1

All the numbers greater than -1 AND less than 7

Interval (-1 , 7)

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What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%2A%2081" id="TexFormula1" title="\frac{2}{3} * 81" alt="\frac

Vaselesa [24]

Hello!

Answer: ⇒⇒⇒⇒⇒⇒⇒ =54

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Step-by-step explanation:

First you had to convert element to fraction.

$\frac{2}{3}*\frac{81}{1}$

Then you had to cross out by the common factor of 3.

$\frac{2}{1}=\frac{27}{1}$

Multiply by the fraction.

$\frac{2*27}{1*1}$

Multiply by the number.

$2*27=54$

$=\frac{54}{1*1}$

Again multiply by the number.

$1*1=1$

$=\frac{54}{1}$

Apply rule.

$\frac{54}{1}=54$

54 is the right answer.

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Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

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