Answer:
x < -3 is the solution for the given inequality - 8 > 8x + 16.
Step-by-step explanation:
Here, the given inequality is - 8 > 8x + 16
Now, we know if equal (positives) are added, subtracted multiplied or divided on both sides of in equality, the signs remain unchanged.
⇒ - 8 > 8x + 16 is equivalent to - 8 + 8 > 8x + 16 + 8
or, 0 > 8x + 24
⇔ -8x > 8x + 24 - 8x
⇔ -8 x > 24
or, (REVERSE SIGN as dividing by a a negative number)
or, x < -3
or, x < -3 is the solution for the given inequality.