please solve this is very imprortant and urgent
Share
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
1) E = {14,17}
2) E = {1,8,27,64}
3) D = {1,3,9,27,81}
4) E = {-15,15}
Step-by-step explanation:
1) Given: E = {x : x=3a+5, 2<a<5 , a∈N}
∵a∈N and a lies between 2 and 5(both excluded). ∴a=3 or a=4.
⇒For a=3, x = 3×3+5 = 9+5 = 14 and for a=4, x = 3×4+5 = 12+5 = 17
⇒ E = {14,17}
2) Given: E = {x : x=a³, a<5 , a∈N}
∵a∈N and a is less than 5. ∴a=1 or a=2 or a=3 or a=4.
⇒For a=1, x = 1³ = 1
For a=2, x = 2³ = 8
For a=3, x = 3³ = 27
For a=4, x = 4³ = 64
⇒ E = {1,8,27,64}
3) Given: D = {x : x=[tex]\frac{81}{a}[/tex], a∈N , x∈N}
∵Both a and x are natural numbers. ∴a must be a natural number such that it is a divisor of 81.
⇒a=1 or a=3 or a=9 or a=27 or a=81.
⇒For a=1, x = 81÷1 = 81
For a=3, x = 81÷3 = 27
For a=9, x = 81÷9 = 9
For a=27, x = 81÷27 = 3
For a=81, x = 81÷81 = 1
⇒ D = {1,3,9,27,81}
4) Given: E = {x : x=√625, x∈Z}
∵√625 is a perfect square. ∴x = ±25.
Also, x is an integer(either positive or negative). ∴Both values of x(i.e., +15 and -15) will be accepted.
⇒ E = {-15,15}
Please mark it as Brainliest.