3x-17≥-8
<=> adding +8 to each part --> (3x-17) +8 ≥-8+8
<=> 3x -17+8 ≥0
<=> 3x-9≥0
<=> adding +9 to each part --> 3x ≥ 9
<=> dividing each part with 3 --> x≥3
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3x-17≥-8
<=> adding +8 to each part --> (3x-17) +8 ≥-8+8
<=> 3x -17+8 ≥0
<=> 3x-9≥0
<=> adding +9 to each part --> 3x ≥ 9
<=> dividing each part with 3 --> x≥3