Monday, 6 January 2014

INEQUALITIES B2



If 10x + 4 ≥ 7 + 3x ≥ 9x – 10; find x

Solution

10x + 4 ≥ 7 + 3x and  7 + 3x ≥ 9x - 10

10x – 3x ≤ 7 - 4 and  7 +10 ≤ 9x - 3x

7x ≤ 3 and  17 ≤ 6x 

7x ≤ 3  and  17 ≤ 6x
7       7            6      6

x ≤ 3/7 and  17/6 ≤ x

x ≤ 3/7 and  x  ≥ 17/6

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