Question

1. Which of the following is equivalent to the inequality - 8 > 8x + 16 ?

Answer 1

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, $\frac{-8x}{-8} < \frac{24}{-8}$ (REVERSE SIGN as dividing by a a negative number)

or, x < -3

or, x <  -3 is the solution for the given inequality.