\begin{tabular}{l|l} Write the inequality in \ interval notation and \ graph. \ $$ x \geq-1 $$\end{tabular}

Question

UpStudy AI · Accepted Answer

**Step 1. Express the inequality in interval notation.**

The inequality is given by
$$
x \geq -1.
$$
This means that all numbers $$ x $$ that are greater than or equal to $$-1$$ are included. In interval notation, this is written as:
$$
[-1, \infty).
$$

**Step 2. Graphing the inequality on a number line.**

1. Draw a horizontal number line.
2. Place a closed (filled) circle at $$-1$$ to indicate that $$-1$$ is included in the solution.
3. Shade or draw an arrow extending to the right of $$-1$$ to represent all numbers greater than $$-1$$.

A simple representation of the graph is shown below:

$$
\text{Number line:} \quad \underset{(-\infty)}{\longleftarrow} \quad \; \bullet_{-1} \,\,\text{==========> } \,\, (\infty)
$$

Here, the filled circle at $$-1$$ indicates that $$-1$$ is included, and the arrow to the right represents all $$ x \geq -1 $$.

**Final Answer:**

- **Interval Notation:** $$[ -1, \infty )$$
- **Graph:** A number line with a closed circle at $$-1$$ and shaded to the right.
The inequality $$ x \geq -1 $$ is written in interval notation as $$[-1, \infty)$$. On the number line, it's represented by a closed circle at $$-1$$ and shading to the right.

\begin{tabular}{l|l} Write the inequality in \\ interval notation and \\ graph. \\ \( x \geq-1 \)\end{tabular}

Solución de inteligencia artificial de Upstudy

Responder

Solución

Beyond the Answer

preguntas relacionadas

Latest Algebra Questions