Consider the following statement: €7, [(x +4>0) ✓ (4- x² < 0)] The negation of the above statement is: [VxEZ, [(2x +4>0) ✓ (4-x² ≤ 0)]] = 3x € Z, -[(2x + 4>0) v (4- x² ≤ 0)] = 3x € Z, [-(2x + 4>0)^(4-x² ≤ 0)] = x € Z, [(2x + 4 ≤ 0) ^ (4- x² > 0)] S O a. True O b. False

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q22

Consider the following statement:
€7, [(2x+4>0) v (4- x² < 0)]
The negation of the above statement is:
[VxEZ, [(2x + 4 > 0) v (4-x² ≤ 0)]]
= 3x € Z, -[(2x + 4 > 0) v (4-x² ≤ 0)]
= 3x € Z, [-(2x + 4 > 0)
= x € Z, [(2x + 4 ≤ 0)
a. True
O b. False
(4-x² ≤ 0)]
(4- x² > 0)]
Transcribed Image Text:Consider the following statement: €7, [(2x+4>0) v (4- x² < 0)] The negation of the above statement is: [VxEZ, [(2x + 4 > 0) v (4-x² ≤ 0)]] = 3x € Z, -[(2x + 4 > 0) v (4-x² ≤ 0)] = 3x € Z, [-(2x + 4 > 0) = x € Z, [(2x + 4 ≤ 0) a. True O b. False (4-x² ≤ 0)] (4- x² > 0)]
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