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Marina CMI [18]
2 years ago
15

4|2x + 5|-7≤9 How would you solve this?

Mathematics
2 answers:
slamgirl [31]2 years ago
5 0
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
]
ArbitrLikvidat [17]2 years ago
3 0

Answer:

- \frac{9}{2} ≤ x ≤ - \frac{1}{2}

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 )

- \frac{9}{2} ≤ x ≤ - \frac{1}{2}

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