Question

Rewrite the given inequality as two linear inequalities. ∣8x+9∣<4

Answer 1

Answer:

$8x+9$ and $8x+9>-4$.

Step-by-step explanation:

The given inequality is

$|8x+9|$

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 $|8x+9|$,  the value of (8x+9) must be lies between -4 and 4.

i.e., $-4$

If 8x+9 positive, then

$8x+9$      ...(1)

If 8x+9 negative, then

$8x+9>-4$      ...(2)

Therefore, the two inequalities are $8x+9$ and $8x+9>-4$.