3[4x-(2x-7)]<2(3x-5)and2/3(x-12)≤+8
Answers
Answered by
1
x
∈
∅
That is there is no value of
x
for which the given inequality is true.
Explanation:
Given
XXX
3
[
4
x
−
(
2
x
−
7
)
]
<
2
(
3
x
−
5
)
First, simplify both the left and right sides:
XXX
3
[
2
x
+
7
]
<
6
x
−
10
XXX
6
x
+
21
<
6
x
−
10
Since we can subtract the same amount from both sides without effecting the validity or orientation of the inequality we have
XXX
21
<
−
10
which is clearly not true for any value of
x
∈
∅
That is there is no value of
x
for which the given inequality is true.
Explanation:
Given
XXX
3
[
4
x
−
(
2
x
−
7
)
]
<
2
(
3
x
−
5
)
First, simplify both the left and right sides:
XXX
3
[
2
x
+
7
]
<
6
x
−
10
XXX
6
x
+
21
<
6
x
−
10
Since we can subtract the same amount from both sides without effecting the validity or orientation of the inequality we have
XXX
21
<
−
10
which is clearly not true for any value of
x
Answered by
0
Answer:
x <= 24
Step-by-step explanation:
12x - 3(2x - 7) < 6x - 10
6x - 21 < 6x - 10
-21 < -10
21 > 10
so this eq is true for any value of x
2/3(x - 12) <= 8
2(x -12) <= 24
2x - 24 <= 24
2x <= 48
x = 24
according to 2nd eq x should have a value which is equal or less than 24
collectively x should have a value less than or equals to 12
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