The minimum value of the expression \(|17 x-8|-9\) is
(a) 0
(b) -9
(c) \(\frac{8}{17}\)
(d) none of these
The minimum value of the expression \(|17 x-8|-9\) is (a) 0 (b) -9 (c) \(\frac{8}{17}\) (d) none of these
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The minimum value of the expression \(|17 x-8|-9\) is
(a) 0
(b) -9
(c) \(\frac{8}{17}\)
(d) none of these
The expression \(|17x – 8| – 9\) represents the distance of \(17x – 8\) from 0 on the number line, minus 9. The minimum value of the absolute value function \(|17x – 8|\) is 0, which occurs when \(17x – 8 = 0\) or \(x = \frac{8}{17}\).
Since the absolute value function cannot be negative, the minimum value of \(|17x – 8|\) is 0. Therefore, the minimum value of the entire expression \(|17x – 8| – 9\) is \(0 – 9 = -9\).
Thus, the correct answer is (b) -9.