Question
Mathematics Question on linear inequalities
If [x+6]+[x+3] ≤ 7 and let call its solution as set A and set B is the solution of inequality 35x-8 < 3-3x.
A
B ⊂ A, A≠B
B
A ⊂ B, A≠B
C
A∩B = ϕ
D
A∪B = ϕ
Answer
A ⊂ B, A≠B
Explanation
Solution
2[x] ≤ -2
⇒[x] ≤ -1
⇒x < 0 A is (-∞,0)
5x - 8 < -3x
⇒x < 1
⇒ B is (-∞,1)
Therefore, A ⊂ B, A≠B