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Elis [28]
3 years ago
7

What is 9| - z/3| + 6 < 30

Mathematics
2 answers:
Reil [10]3 years ago
4 0
9|⁻¹/₃z| + 6 < 30
9|⁻¹/₃z| + 6 < ±30
9|⁻¹/₃z| + 6 < 30    or    9|⁻¹/₃z| + 6 > -30
9(¹/₃z) + 6 < 30    or    9(¹/₃z) + 6 > -30
     3z + 6 < 30       or       3z + 6 > -30
           - 6   - 6                       - 6     - 6
           3z < 24          or          3z > -24
            3      3                         3       3
             z < 8            or            z > -8

Solution Set: {z|z < 8 or z > -8} and (-∞, 8) or (-8, ∞)
Aleks [24]3 years ago
4 0
9|- \frac{z}{3} | + 6 \ \textless \  30 \\ \\ 9 \times  \frac{z}{3} + 6 \ \textless \  30 \\ \\ 3z + 6 \ \textless \  30 \\ \\ 3z \ \textless \  30 - 6 \\ \\ 3z \ \textless \  24 \\ \\ z \ \textless \   \frac{24}{3} \\ \\ z \ \textless \  8 \\ \\ Answer: z \ \textless \  8
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