Question

solve for $x$ and graph the solution on the number line below.
$-1 < \frac{x}{2}$
answer attempt 1 out of 2
$<$ $>$ $\leq$ $\geq$ or
inequality notation:
number line:

Explanation:

Step1: Multiply both sides by 2

Multiply each side of the inequality by 2 to isolate $x$.
$$2 \times (-1) < 2 \times \frac{x}{2}$$

Step2: Simplify both sides

Calculate the products to get the simplified inequality.
$$-2 < x$$
Which can be rewritten as $x > -2$.

For the number line graph:

1. Locate $-2$ on the number line.
2. Draw an open circle at $-2$ (since the inequality is strict, $x$ cannot equal $-2$).
3. Draw an arrow pointing to the right from the open circle to represent all numbers greater than $-2$.

Answer:

Inequality Notation: $x > -2$

Number Line:

• Open circle at $-2$, with an arrow extending to the right (covering all values greater than $-2$ on the provided number line).