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[ 1/1Inequality]
Assignment:Find the solution set of inequality sqrt(-2^x) >-100000000 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( -2 ^ x ) > -100000000 (1)
From the definition field of √
-2 ^ x ≥ 0 (2 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x ≤ -1082.746667 或 -1082.746667 ≤ x ≤ -1082.027778 或 -1082.027778 ≤ x ≤ -1081.308889 或 -1081.308889 ≤ x ≤ -108059/100 或 -108059/100 ≤ x ≤ -242971/225 或 -242971/225 ≤ x ≤ -971237/900 或 -971237/900 ≤ x ≤ -32353/30 或 -32353/30 ≤ x ≤ -969943/900 或 -969943/900 ≤ x ≤ -1076.995556 或 -1076.995556 ≤ x ≤ -1076.276667 或 x ≥ -1076.276667
From inequalities (1) and (2)
x ≤ -1082.746667 或 -1082.746667 ≤ x ≤ -1082.027778 或 -1082.027778 ≤ x ≤ -1081.308889 或 -1081.308889 ≤ x ≤ -108059/100 或 -108059/100 ≤ x ≤ -242971/225 或 -242971/225 ≤ x ≤ -971237/900 或 -971237/900 ≤ x ≤ -32353/30 或 -32353/30 ≤ x ≤ -969943/900 或 -969943/900 ≤ x ≤ -1076.995556 或 -1076.995556 ≤ x ≤ -1076.276667 或 x ≥ -1076.276667 (3)
The final solution set is :
x ≤ -1082.746667 或 -1082.746667 ≤ x ≤ -1082.027778 或 -1082.027778 ≤ x ≤ -1081.308889 或 -1081.308889 ≤ x ≤ -108059/100 或 -108059/100 ≤ x ≤ -242971/225 或 -242971/225 ≤ x ≤ -971237/900 或 -971237/900 ≤ x ≤ -32353/30 或 -32353/30 ≤ x ≤ -969943/900 或 -969943/900 ≤ x ≤ -1076.995556 或 -1076.995556 ≤ x ≤ -1076.276667 或 x ≥ -1076.276667Your problem has not been solved here? Please take a look at the hot problems !