Answer:
Option 1) x ≥ 0.5
Explanation:
The given inequality is : 2(4x - 3) ≥ -3(3x) + 5x
And the options are:
1) x ≥ 0.5
2) x ≥ 2
3) (–∞, 0.5]
4) (–∞, 2]
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So, the solution is as following:
2(4x - 3) ≥ -3(3x) + 5x
8x - 6≥ -9x + 5x
8x + 9x - 5x ≥ 6
12 x ≥ 6
x ≥ 6/12
x ≥ 0.5
The answer is option 1) x ≥ 0.5