3 years ago

Can you help me solve this problem? Also please show your work.

Mathematics

1 answer:

alisha [4.7K]3 years ago

3 0

Answer:

x>=-1, B

Step-by-step explanation:

1. distribute 2 to get 7+x <= 2x+6+2

2. simplify to get 7+x <= 2x+8

3. subtract 7 on both sides to get x<=2x+1

4. subtract x on both sides to get 0 <= x+1

5. subtract 1 on both sides to get x >= -1

B fits this description

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$A\cup B=\{2,3,4,5,6,7,8,9,10,11,12,13\}\\\\A\cap B=\{5\}$

$\overline{\overline{\Omega}}=10\\\\\overline{\overline{B}}=5\quad\implies\quad P(B)=\dfrac5{10}=\dfrac12\\\\\overline{\overline{C}}=6\quad\implies\quad P(C)=\dfrac6{10}=\dfrac35\\\\\overline{\overline{B\cup C}}=5+3=8\quad\implies\quad P(B\cup C)=\dfrac8{10}=\dfrac45\\\\ \overline{\overline{B\cap C}}=3\quad\implies\quad P(B\cap C)=\dfrac3{10}$