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Bunuel
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For the inequality |2x - a| < a - 4 to have solutions, we need:
The minimum value of the left side < right side
0 < a - 4
Therefore: a > 4
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zorals, could you please explain this briefly
zorals
For the inequality |2x - a| < a - 4 to have solutions, we need:
The minimum value of the left side < right side
0 < a - 4
Therefore: a > 4
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SwethaReddyL
zorals, could you please explain this briefly



Since the left-hand side is an absolute value (|2x - a|), it must be non-negative. So the right-hand side (a - 4) must also be non-negative:

a - 4 ≥ 0, which gives a ≥ 4.
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