Rewrite the given inequality as two linear inequalities. ∣8x+9∣<4
1 answer:
Answer:
and
.
Step-by-step explanation:
The given inequality is
![|8x+9|](https://tex.z-dn.net/?f=%7C8x%2B9%7C%3C4)
We need to rewrite the given inequality as two linear inequalities.
We know that |8x+9|>0 but (8x+9) can be positive or negative.
For
, the value of (8x+9) must be lies between -4 and 4.
i.e., ![-4](https://tex.z-dn.net/?f=-4%3C8x%2B9%3C4)
If 8x+9 positive, then
...(1)
If 8x+9 negative, then
...(2)
Therefore, the two inequalities are
and
.
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