Answer:
1. -2x < -5
3. -2x < 5
Explanation:
|-2x| + 9 > 14
-2x > 5
x < -
or x >

So, after solving we get x <
; now, we just need to check which option gives the answer x <
.
1. Correct
-2x < -5
x >

2. Wrong
-2x > 5
x <

3. Correct
-2x < 5
x >

4. Wrong
-2x > - 5
x <

So, the answer is option 1 & 3.