HELP ASAP WILL GIVE BRAINLIEST
2 answers:
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The answer is:
(Option 1).
(Option 4).
(Option 5).
The explanation for this answer is shown below:
1. The commutative property of addtion establishes that if you change the order of the addends, the sum will not change.
2. Let's say that and
are real numbers, Then they can added them to obtain a result
:
3. If you change the order, you will obtain the same result:
4. Therefore, the only options that show the applicaction of this property, are the options shown above.
<h3>Answer:</h3>
w < 0 ∪ 9 < w
<h3>Step-by-step explanation:</h3>You can multiply by w to eliminate the fractions. This gives rise to two cases, one for w > 0, and one for w < 0.
For w > 0
In this case, the multiplier is positive, so the sense of the inequality remains unchanged. The inequality becomes ...
... 2 +3w > 29
... 3w > 27 . . . . subtract 2
... w > 9 . . . . . . divide by 3 (again, a positive number)
For w < 0
Multiplying an inequality by a negative number reverses the sense of the comparison. This gives us ...
... 2 +3w < 29
... 3w < 27 . . . . . . subtract 2
... w < 9 . . . . . . . . divide by 3 (a positive number)
The solution to this inequality is the intersection of this condition with the condition that w < 0. That will be ...
... w < 0
Solution
So, the solution to the given inequality is ...
... w < 0 ∪ 9 < w
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<em>Comment on the graph</em>
We have rewritten the inequality to the form ...
... 2/w +3 -29/w > 0 . . . . . . subtract the right side
The graphing calculator has plotted the curve represented by the left side of this inequality. The blue highlighting shows where that is greater than zero.