# How do you solve │3x- 7 │≥-3?

Jul 27, 2016

$x \in \mathbb{R}$

graph{y=|3x-7| [-10, 10, -5, 5]}

#### Explanation:

Let us have the graph of $y = | 3 x - 7 |$.

From the graph, we observe that it lies above the X-axis.

This means # AAx in RR, y=|3x-7| >=0, and, bcz. 0>=-3,

$\Rightarrow \forall x \in \mathbb{R} , | 3 x - 7 | \ge - 3$

Hence, the Soln. $x \in \mathbb{R}$