a) \(C=\left\{2;a;4;6;8\right\}\)

b) \(D=\left\{3;7;9;c\right\}\)

c) \(E=\left\{1;2;a;4;b;6;8;10;3;7;9;c\right\}\)

d) \(F=\left\{1;b;10\right\}\)

 \(2^3\cdot17-2^3\cdot14\)

\(=2^3\cdot\left(17-14\right)\)

\(=2^3\cdot3\)

\(=8\cdot3\)

\(=24\)

\(125+\left(2\cdot x-10\right)=625\)

\(\Rightarrow2\cdot x-10=625-125\)

\(\Rightarrow2\cdot x-10=500\)

\(\Rightarrow2\cdot x=500+10\)

\(\Rightarrow2\cdot x=510\)

\(\Rightarrow x=510:2\)

\(\Rightarrow x=255\)

 \(\dfrac{1}{2024}>0\) 

a) Số lượng số hạng:

\(\left(100-2\right):2+1=50\) (số hạng)

Tổng là:

\(A=\left(100+2\right)\cdot50:2=2550\) 

b) \(B=99-97+95-93+...+3-1\)

\(B=\left(99-97\right)+\left(95-93\right)+...+\left(3-1\right)\)

\(B=2+2+...+2\) (50 số hạng)

\(B=2\cdot50\)

\(B=100\)

\(\sqrt{5-3x}=9\) (ĐK: \(x\le\dfrac{5}{3}\))

\(\Leftrightarrow5-3x=9^2\)

\(\Leftrightarrow-3x=81-5\)

\(\Leftrightarrow-3x=76\)

\(\Leftrightarrow x=\dfrac{76}{-3}\left(tm\right)\)

\(\dfrac{1}{3}+x:\dfrac{2}{3}=\dfrac{3}{5}\)

\(x:\dfrac{2}{3}=\dfrac{3}{5}-\dfrac{1}{3}\)

\(x:\dfrac{2}{3}=\dfrac{4}{15}\)

\(x=\dfrac{4}{15}\times\dfrac{2}{3}\)

\(x=\dfrac{8}{45}\)

\(\sqrt{3x-7}=4\) (ĐK: \(x\ge\dfrac{7}{3}\))

\(\Leftrightarrow3x-7=4^2\)

\(\Leftrightarrow3x-7=16\)

\(\Leftrightarrow3x=16+7\)

\(\Leftrightarrow3x=23\)

\(\Leftrightarrow x=\dfrac{23}{3}\)

\(16\times65\times8^2:\left(4^3\times2^5\times16\right)\)

\(=16\times65\times8^2:\left(4^5\times2^5\right)\)

\(=2^4\times65\times2^6:2^{15}\)

\(=65:2^{10}:2^{15}\)

\(=65:2^5\)

\(=\dfrac{65}{32}\)

\(115-5\left(x+12\right)=30\)

\(\Rightarrow5\left(x+12\right)=115-30\)

\(\Rightarrow5\left(x+12\right)=85\)

\(\Rightarrow x+12=17\)

\(\Rightarrow x=17-12\)

\(\Rightarrow x=5\)