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

Question

asked Dec 27, 2019 131k views

1 Answer

Dmitrii Leonov · Answer 1 · 2020-01-01T22:50:51+0000

$\begin{cases}4x+2\ge14\\-21x+1<22\end{cases}$

In the first inequality, we have

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

In the second, we have

$-21x+1<22\implies-21x<21\implies x>-1$

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