Question

Three values on a number line ate labeled f, g and h.

Answer 1

Given

• f = -4

,

• g = -g

,

• h = -f

Explanation

Let us find the values of g and h.

• Since we know the value of, we can find the value of h.

$\begin{gathered} h=-f \\ h=-(-4) \\ h=4 \end{gathered}$

• We solve the given equation for g.

$\begin{gathered} g=-g \\ \text{ Add g from both sides} \\ g+g=-g+g \\ 2g=0 \\ \text{ Divide by 2 from both sides} \\ \frac{2g}{2}=\frac{0}{2} \\ g=0 \end{gathered}$Answer

Therefore, the number line that shows correctly the values of f,g, and h is the one in option c.