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Sagot :
solate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
−
9
2
≤
x
≤
−
1
2
-
9
2
≤
x
≤
-
1
2
Interval Notation:
[
−
9
2
,
−
1
2
]
Inequality Form:
−
9
2
≤
x
≤
−
1
2
-
9
2
≤
x
≤
-
1
2
Interval Notation:
[
−
9
2
,
−
1
2
]
Answer:
- [tex]\frac{9}{2}[/tex] ≤ x ≤ - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
inequalities of the type | x | ≤ a , have solutions of the form
- a ≤ x ≤ a , then
4 | 2x + 5 | - 7 ≤ 9 ( add 7 to both sides )
4 | 2x + 5 | ≤ 16 ( divide both sides by 4 )
| 2x + 5 | ≤ 4 , so
- 4 ≤ 2x + 5 ≤ 4 ( subtract 5 from each interval )
- 9 ≤ 2x ≤ - 1 ( divide each interval by 2 )
- [tex]\frac{9}{2}[/tex] ≤ x ≤ - [tex]\frac{1}{2}[/tex]
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