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Question
Mathematics
Assertion: If 3 x+8 > 2, then x ∈ -1,0,1,2, ldots when x is an integer. Reason: The solution set of the inequality 4 x+3 < 5 x+7 ∀ x ∈ R is [4, ∞)
Q. Assertion
:
If
3
x
+
8
>
2
, then
x
∈
{
−
1
,
0
,
1
,
2
,
…
}
, when
x
is an integer. Reason : The solution set of the inequality
4
x
+
3
<
5
x
+
7
∀
x
∈
R
is
[
4
,
∞
)
2266
210
Linear Inequalities
Report Error
A
Assertion is correct, reason is correct; reason is a correct explanation for assertion.
33%
B
Assertion is correct, reason is correct; reason is not a correct explanation for assertion
38%
C
Assertion is correct, reason is incorrect
29%
D
Assertion is incorrect, reason is correct.
0%
Solution:
Assertion is correct.
3
x
+
8
>
2
⇒
3
x
>
−
6
⇒
x
>
−
2
⇒
x
∈
{
−
1
,
0
,
1
,
2
,
…
}
Reason is incorrect.
4
x
+
3
<
5
x
+
7
−
x
<
4
⇒
x
>
−
4
⇒
x
∈
(
−
4
,
∞
)