Friday, 10 January 2014

INEQUALITIES B8



If 6x + 4 ≥ 7 + 3x ≥ 5x – 10; find x.

Solution

6x + 4 ≥ 7 + 3x and  7 + 3x ≥ 5x - 10

6x – 3x ≤ 7 - 4  and  7 +10 ≤ 5x - 3x

3x ≤ 3 and  17 ≤ 2x 

3x ≤ 3  and  17 ≤ 2x
3       3           2      2

x ≤ 1 and  17/2 ≤ x

x ≤ 1 and  x  ≥ 17/2

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