Question

Find all real numbers X such that 4x+2≥14 and -21x+1<22

Answer 1

$\begin{cases}4x+2\ge14\\-21x+1$

In the first inequality, we have

$4x+2\ge14\implies4x\ge12\implies x\ge3$

In the second, we have

$-21x+1$

The solution to the system is the intersection of these two intervals, which would be $x\ge3$.