Algebra-1

For (x – 3)(8 + x) < 0,

1. Find roots: x = 3, x = -8

2. Test intervals: x < -8, -8 < x < 3, x > 3.

3. Inequality is negative for -8 < x < 3.

Thus -8 < x < 3

For 4(x – 10) < 5 – 4x,

1. Expand: 4x - 40 < 5 - 4x.

2. Combine: 8x < 45.

3. Divide: x <