Algebra-1

For (x – 7)(5 + x) < 0, 
1. Find roots: x = 7, x = -5.
2. Test intervals: x < -5, -5 < x < 7, x > 7.
3. Inequality is negative for -5 < x < 7.
Thus -5＜x＜7
For 2(x – 1) < 3 – 2x, 
1. Expand: 2x - 2 < 3 - 2x.
2. Combine: 4x < 5.
3. Divide: x <  
Thus x ＜

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