The Sensex is likely to open lower following the declining trend amonh the global markets. The index may continue to exhibit weakness till the first half of the trading day, thereafter cues from the European market may set the end trend for the index.The index has a near support at 10,070, break of which could see the index dip below the 10,000 mark. Crucial support lies around 9840 levels. In case of an upmove, the index could face resistance around 10,350 levels.