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lesley92
 Post subject: can you help me solve this
PostPosted: Sat, 19 Nov 2011 16:00:01 UTC 
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solve the following inequalities and give your solutions in interval notation and graph it .
a) (4x-2)<6
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outermeasure
 Post subject: Re: can you help me solve this
PostPosted: Sat, 19 Nov 2011 16:40:27 UTC 
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lesley92 wrote:
solve the following inequalities and give your solutions in interval notation and graph it .
a) (4x-2)<6


What have you tried? Where are you stuck?

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\begin{aligned} Spin(1)&=O(1)=\mathbb{Z}/2&\quad&\text{and}\\ Spin(2)&=U(1)=SO(2)&&\text{are obvious}\\ Spin(3)&=Sp(1)=SU(2)&&\text{by }q\mapsto(\mathop{\mathrm{Im}}\mathbb{H}\ni p\mapsto qp\bar{q})\\ Spin(4)&=Sp(1)\times Sp(1)&&\text{by }(q_1,q_2)\mapsto(\mathbb{H}\ni p\mapsto q_1p\bar{q_2})\\ Spin(5)&=Sp(2)&&\text{by }\mathbb{HP}^1\cong S^4_{round}\hookrightarrow\mathbb{R}^5\\ Spin(6)&=SU(4)&&\text{by the irrep }\Lambda_+\mathbb{C}^4 \end{aligned}
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