Answer:
1. Simplify the inequality 5.1(3 + 2.2x) > -14.25 - 6(1.7x + 4):
15.3+11.22x>-14.25-10.2x-24 10;15.3+11.22x>-10.2x-38.75.
2. Separate terms with x and without x in different sides:
11.22x+10.2x>-38.75-15.3.
3. Add similar terms:
21.42x>-54.05.
4. Divide by 21.42:
x>-54.05/21.42
x>-2.5
Step-by-step explanation:
So we want to know what x times 2 is. So think about this: multiply x with 2. We can find out what works and what doesn’t. So remind yourself that if you are multiplying a negative number, you get a negative. And when you minus a negative with a positive it’s the same as a negative + a negative. So it can’t be a negative as the answer is 0. Try each positive and you will find the answer to be
X=8
In this case, we have a colored dot at -1 and a white dot at 3, then the interval notation for that graphed interval will be:
[-1, 3).
<h3>How to write the interval of values in the graph using interval notation?</h3>
First, remember that the symbols ( and ) are used for ends that do not belong to the interval.
For example, if our interval is 1 < x < 2
1 and 2 do not belong to the solution interval, thus, the solution interval is (1, 2).
While [ and ] are used when the ends belong. For example, in:
1 ≤ x ≤ 2
The interval notation is [1, 2]
And in:
1 < x ≤ 2
(1, 2]
And so on.
On the number line, the notation is:
- Colored dot: the point belongs to the interval.
- White dot: the point does not belong to the interval.
In this case, we have a colored dot at -1 and a white dot at 3, then the interval notation for that graphed interval will be:
[-1, 3).
If you want to learn more about interval notation.
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Answer: 0
.
0
0
0
1
2
−
0
.
0
2
+
5
+
5
0
0
Step-by-step explanation:
Count the units on the sides. On the Y axis the rectangle is 4 units and on the X axis the rectangle is 6 units. Area of a rectangle=L*W so, 6*4=24. Perimeter is 4*2 and 6*2=8+12=20. Hope this helps!
