5) Which are true and which are false? a) 3XER,x^2-4x+5=0 b) VxɛZ,x^2 =0(mod4)orx^2 =1(mod4) c) Vx E R, Vy e R, x^2 + y^2 2 0 d) 3x E R, 3y e R, x^2 + y^2 = 25, x + y = 7 e) VxER^+ ,3yɛR^+ ,xy=1 f) 3XER^+ ,VyeR^+ ,xy=1
5) Which are true and which are false? a) 3XER,x^2-4x+5=0 b) VxɛZ,x^2 =0(mod4)orx^2 =1(mod4) c) Vx E R, Vy e R, x^2 + y^2 2 0 d) 3x E R, 3y e R, x^2 + y^2 = 25, x + y = 7 e) VxER^+ ,3yɛR^+ ,xy=1 f) 3XER^+ ,VyeR^+ ,xy=1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please give reason why each of following is true or false ?
![5) Which are true and which are false?
a) 3XER,x^2-4x+5=0
b) VxeZ,x^2 =0(mod4)orx^2 =1(mod4)
c) Vx E R, Vy e R, x^2 + y^2 2 0
d) 3x E R, 3y E R, x^2 + y^2 = 25, x + y = 7
e) VxeR^+ ‚3yɛR^+ ,xy=1
f) 3XER^+ ,VyeR^+ ,xy=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e1e873e-c18e-47a2-8c18-f597881a2100%2Fc0f35305-66a6-449b-80da-8546d91cc48b%2Fhxiiphx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5) Which are true and which are false?
a) 3XER,x^2-4x+5=0
b) VxeZ,x^2 =0(mod4)orx^2 =1(mod4)
c) Vx E R, Vy e R, x^2 + y^2 2 0
d) 3x E R, 3y E R, x^2 + y^2 = 25, x + y = 7
e) VxeR^+ ‚3yɛR^+ ,xy=1
f) 3XER^+ ,VyeR^+ ,xy=1
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