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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, ∞)
So she made 32 cups last year...she made 2 times as much this year...so she made 2(32) = 64 cups this year.
1 gallon = 16 cups
64/16 = 4 gallons
The answer is Chesa made 4 gallons of soup
4x+10=90
4x=80
x=20
Why 90°? This is because the angle subtended in a semi-circle to the circumference is 90°.