Question

Please solve each of the inequalities below.

1.) x – 3 > –9
2.) –2x + 1 ≤ –11
3.) 10 < –3x + 1
4.) 2(x + 5) > 8x – 8
5.) –2(x – 3) ≥ 5 – (x + 3)

Answer 1

1. Add +3 to both side. => x>-6
2. Add -1 to both sides => -2x <equal -12 Implies x>equalto6
3 Subtract one. Then divide by -3 ( remember to chnge the sign here) -3>x

Then,
4. 2x + 10 > 8x - 8
=> 6x < 18 => x <3