Algebra-1

For (-x – 1)(9 - x) < 0,

1. Find roots: x = -1, x = 9.

2. Test intervals: x < -1, -1 < x < 9, x > 9.

3. Inequality is negative for -1 < x < 9.

Thus -1 ＜ x ＜ 9

For 8(2x – 1) < 3 – x,

1. Expand: 16x - 8 < 3 - x.

2. Combine: 17x < 11.

3. Divide: x <

Thus x＜

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