Write an inequality to represent the range of values of $x$ shown on the number line below.

1. Interpret the endpoints and inclusion from the number line

The solid line starts at $-0.4$ with a closed dot, so $x$ can be equal to $-0.4$. It ends at $1.0$ with an open circle, so $x$ is less than $1.0$ but not equal to it.

Hence,
$-0.4 \leqslant x < 1.0$
which is usually written as
$-0.4 \leqslant x < 1.$