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[ 1/1Inequality]
Assignment:Find the solution set of inequality {1/1.22^2[6×4.5×10^4×250/(2×0.7×h×240^2)]^2+[4.5×10^4/(2×0.7×h×240)]^2}^0.5 ≤160 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 1 / 1.22 ^ 2 * ( 6 × 4.5 × 10 ^ 4 × 250 / ( 2 × 0.7 × h × 240 ^ 2 ) ) ^ 2 + ( 4.5 × 10 ^ 4 / ( 2 × 0.7 × h × 240 ) ) ^ 2 ) ^ 0.5 ≤160 (1)
From the definition field of divisor
2 × 0.7 × x × 240 ^ 2 ≠ 0 (2 )
From the definition field of divisor
2 × 0.7 × x × 240 ≠ 0 (3 )
From inequality(1):
h ≤ -4.369117 或 h ≥ 4.369117
From inequality(2):
h < 0 或 h > 0
From inequality(3):
h < 0 或 h > 0
From inequalities (1) and (2)
h ≤ -4.369117 或 h ≥ 4.369117 (4)
From inequalities (3) and (4)
h ≤ -4.369117 或 h ≥ 4.369117 (5)
The final solution set is :
h ≤ -4.369117 或 h ≥ 4.369117Your problem has not been solved here? Please take a look at the hot problems !