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A day full of math games & activities. Find one near you.
Solve 3x + 8 > 2 , when
(i) x is an integer (ii) x is a real number
Solution:
The given inequality is 3x + 8 > 2
3x + 8 > 2
⇒ 3x + 8 - 8 > 2 - 8
⇒ 3x > - 6
⇒ 3x/3 > - 6/3
⇒ x > - 2
(i) The integers greater than - 2 are - 1, 0, 1, 2, ....
Thus, when x is an integer, the solutions of the given inequality are - 1, 0, 1, 2...
Hence, in this case, the solution set is {- 1, 0, 1, 2,....}
(ii) When x is a real number, the solutions of the given of the inequality are all the real numbers, which are greater than - 2
Thus, in this case, the solution set is (- 2, ∞)
NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.1 Question 4
Solve 3x + 8 > 2 , when (i) x is an integer (ii) x is a real number
Summary:
A linear inequation 3x + 8 > 2 is given. We have found that in this case the solution set is (- 2, ∞)
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