Solve for x the following linear inequalities—
![a) \: \: \: \: \: |3x - 2| \leqslant \frac{1}{2} a) \: \: \: \: \: |3x - 2| \leqslant \frac{1}{2}](https://tex.z-dn.net/?f=a%29+%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%7C3x+-+2%7C++%5Cleqslant++%5Cfrac%7B1%7D%7B2%7D+)
![b) \: \: \: 1 \leqslant |x - 2| \leqslant 3 b) \: \: \: 1 \leqslant |x - 2| \leqslant 3](https://tex.z-dn.net/?f=b%29+%5C%3A++%5C%3A++%5C%3A+1+%5Cleqslant++%7Cx+-+2%7C++%5Cleqslant+3)
![c) \: \: \: |x - 1| \leqslant 5 \: and \: |x| \geqslant 2 c) \: \: \: |x - 1| \leqslant 5 \: and \: |x| \geqslant 2](https://tex.z-dn.net/?f=c%29+%5C%3A++%5C%3A++%5C%3A++%7Cx+-+1%7C++%5Cleqslant+5+%5C%3A+and+%5C%3A++%7Cx%7C++%5Cgeqslant+2)
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the above is the answer buddy
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