COMEDK 2024 Shift 2 Paper

To solve the compound inequality 13x−5<15x+4<7x+12, we need to break it into two separate inequalities and solve each part separately. Let's do this step by step:
1. Solve the first inequality: 13x−5<15x+4
Subtract 13x from both sides of the inequality:
−5<2x+4
Subtract 4 from both sides:
−9<2x
Divide both sides by 2 :
−‌

9

2

<x
or equivalently
x>−‌

9

2

2. Solve the second inequality: 15x+4<7x+12
Subtract 7x from both sides of the inequality:
8x+4<12
Subtract 4 from both sides:
8x<8
Divide both sides by 8 :
x<1
Now, we combine the results of the two inequalities:
−‌

9

2

<x<1
Since x∈W (set of whole numbers), the whole numbers in this interval are 0 . Therefore, the solution set is:
{0}
Hence, the correct option is:
Option A: {0}