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Solution:
3(2 - x) ≥ 5(x - 2)
{5(x - 2) = 5x - 10}
3(2 - x) ≥ 5x - 10
{3(2 - x) = 6 - 3x}
6 - 3x ≥ 5x - 10
(Add 3x to both sides)
6 - 3x + 3x
≥ 5x + 3x
- 10
6 - 3x +
3x
≥ 5x + 3x
- 10
6 ≥ 5x + 3x
- 10
6 ≥ 8x - 10
(Add 10 to both sides)
6 + 10 ≥ 8x
- 10 + 10
6 + 10 ≥ 8x
- 10 + 10
6 + 10 ≥ 8x
16 ≥
8x
(Multiply each sides by 1/8)
16 (1/8)
≥ 8x
(1/8)
16/8 ≥
8x/8
2 ≥
x or
x ≤
2
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