Question

absolute value of 4x-7 greater than and equal to 9​

Answer 1

Answer:

Step-by-step explanation:

$|4x - 7|$ ≤ $9$

With this, we can construct two inequalities:

$4x - 7$ ≤ $9$

$4x - 7$ ≥ $-9$

Solving for each one will give us the answer:

$4x - 7$ ≤ $9$

$4x$ ≤ $16$

$x$ ≤ $4$

$4x - 7$ ≥ $-9$

$4x$ ≥ $-2$

$x$ ≥ $\frac{-1}{2}$

This give us the following range:

$\frac{-1}{2}$ ≤ $x$ ≤ $4$