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For which values of x is A U B = Ø

For which values of x is A U B = Ø-example-1

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6 votes

Answer:hi, the answer would be (a) or 2<x<3 hope this helps :)

Step-by-step explanation: i just took the test got em all correct

User Bryan Miller
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3 votes

Answer:

The first: 2 < x < 3

Explanation:


3x+4\geq13\\\\3x\geq9\\\\x\geq3\\\\A=\big<3\,,\ \infty)
\frac12x+3\leq4\\\\\frac12x\leq1\\\\x\leq2\\\\B=(-\infty\,,\ 2\big>


A\cup B\\ot=\varnothing\quad for\ all\ x\in(-\infty\,, 2\big>\cup\big<3\,,\ \infty)

so:


A\cup B=\varnothing\quad for\ x\in(\,2\,,\ 3\,)

User N Sharma
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