What is the solution to the absolute value inequality?
1 answer:
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Answer:
if
Step-by-step explanation:
Recall some following basic ideas about absolute value:
or I guess
or just
but there is a reason why I wrote it the way I did.
You see that the absolute value returned the same value if the value was positive.
You see that the absolute value returned the opposite value if the value was negative.
You can include 0 in either.
Let's look at alone for a second.
* if
is positive or zero.
When is positive or zero? [greater than or equal to 0]
Subtract 3 on both sides
* if
is negative or zero.
When is negative or zero? [less or equal to 0]
Subtract 3 on both sides
So looking at the bullet points (the *), fits into the first inequality.
Therefore, .
Answer:
65°
Step-by-step explanation:
The consecutive interior angles theorem states that if two parallel lines are cut by a transversal line then the resulting pair of consecutive angles formed are supplementary (that is they add up to 180°).
Given that the painting rows are parallel to each other and a painted line (transversal) cut the parallel lines forming consecutive interior angles m∠1 and m∠2. Therefore:
m∠1 + m∠2 = 180°
m∠1 + 115 = 180
m∠1 = 180 - 115
m∠1 = 65°
Answer:
See the attached figure.
Given:
u = (-3.5 , -1.5) and v = (-1.25 , 2.25)
So,
2v = 2 * (-1.25 , 2.25) = (-2.5, 4.5)
∴ 2v - u = (-2.5, 4.5) - (-3.5 , -1.5) = (1 , 6)
The graph of the vectors is as shown in the attached figure.
