Question

plot the approximate locations of $x + 4$ and $4 - x$ on the number line.
$x + 4$
$4 - x$
$x$
-3
0
1

Explanation:

Step1: Identify value range of $x$

From the number line, $x$ is between $-3$ and $0$, so $-3 < x < -2$ (approximate midpoint between -3 and 0, closer to -3).

Step2: Calculate $x+4$ range

Substitute $x$ into $x+4$:
If $x=-3$, $x+4 = -3+4=1$; if $x=-2$, $x+4=-2+4=2$.
So $1 < x+4 < 2$.

Step3: Calculate $4-x$ range

Substitute $x$ into $4-x$:
If $x=-3$, $4-x=4-(-3)=7$; if $x=-2$, $4-x=4-(-2)=6$.
So $6 < 4-x < 7$.

Step4: Plot on number line

Mark $x+4$ between 1 and 2, and $4-x$ between 6 and 7 on the number line.

Answer:

1. Mark $x+4$ at a point between 1 and 2 on the number line.
2. Mark $4-x$ at a point between 6 and 7 on the number line.