Move all terms not containing
|
5
−
8
x
|
|
5
-
8
x
|
to the right side of the inequality.
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Add
7
7
to both sides of the inequality.
|
5
−
8
x
|
<
8
+
7
|
5
-
8
x
|
<
8
+
7
Add
8
8
and
7
7
.
|
5
−
8
x
|
<
15
|
5
-
8
x
|
<
15
Remove the absolute value term. This creates a
±
±
on the right side of the inequality because
|
x
|
=
±
x
|
x
|
=
±
x
.
5
−
8
x
<
±
15
5
-
8
x
<
±
15
Set up the positive portion of the
±
±
solution.
5
−
8
x
<
15
5
-
8
x
<
15
Solve the first inequality for
x
x
.
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x
>
−
5
4
x
>
-
5
4
Set up the negative portion of the
±
±
solution. When solving the negative portion of an inequality, flip the direction of the inequality sign.
5
−
8
x
>
−
15
5
-
8
x
>
-
15
Solve the second inequality for
x
x
.
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x
<
5
2
x
<
5
2
Set up the intersection.
x
>
−
5
4
x
>
-
5
4
and
x
<
5
2
x
<
5
2
Find the intersection between the sets.
−
5
4
<
x
<
5
2
-
5
4
<
x
<
5
2
The result can be shown in multiple forms.
Inequality Form:
−
5
4
<
x
<
5
2
-
5
4
<
x
<
5
2
Interval Notation:
(
−
5
4
,
5
2
)
(
-
5
4
,
5
2
)
<span>How to use base 10 blocks in
dividing 2.16 by 6
=> how many 6s are there in 2.16. Let’s try
let’s try the blocks of
=> 1 = IIIIIIIIIIIIIIIII = 17 6s (16.666..
* 6)
=> 2 = approximately 33 6s (33.33… * 6)
=> .16 = 0.27 6s or 3
=> 33 + 3 = 36 6s in 2.16
=> 2.16 / 6 = 0.36
Thus, there are 36 6s in 2.16 numbers. </span>
Answer:
1/5 1 2
Step-by-step explanation:
55.5-29.25=3t
equation:
3t+26.25=55.5
t=(55.5-29.25)/3
t=8.75
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