Answer:
p ∈ [5 , 6)
Step-by-step explanation:
p + 6 ≥ 11
⇒ p ≥ 11 - 6
⇒ p ≥ 5
⇒ p ∈ [5 , +∞)
3p < 18
⇒ p < 18/3
⇒ p < 6
⇒ p ∈ (-∞ , 6)
Then
p the solution to both equations verify:
p ∈ (-∞ , 6) ∩ [5 , +∞)
Conclusion :
p ∈ [5 , 6)
10 points!!! Need done asap
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Answer with explanation:
The equation of two planes are
1.→y +2 z=10
2.→x+y=11
To find the point of Intersection of two planes
let,→ y=t
→2 z=10 - t
10 -2 z=t
→x=11 -t
11 -x=t
So,Writing equation of line which is intersection of two planes
→ 11 -x = y= 10-2 z=t
---------------------------------(1)
⇒Putting , x=0, y=0 and z=0 in the above equation ,to find the point Closest to Origin which will be
=(11, 0, 10)