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History of Inequality Computation > Answer
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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 2
Question type: Inequality
Solution:
The inequality can be reduced to 4 inequalities:
2 < x * x + 3 * x - 4 (1)
x * x + 3 * x - 4 <3 (2)
3 < lg x (3)
lg x <4 (4)
From the definition field of lg
x > 0 (5 )
From inequality(1):
x < -4.372281 或 x > 1.372281
From inequality(2):
-4.541381 < x < 1.541381
From inequality(3):
x > 1000
From inequality(4):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(5):
x > 0
From inequalities (1) and (2)
-4.541381 < x < -4.372281 或 1.372281 < x < 1.541381 (6)
From inequalities (3) and (6)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (7)
From inequalities (4) and (7)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (8)
From inequalities (5) and (8)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (9)
The final solution set is :
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!Your problem has not been solved here? Please take a look at the hot problems !