Question

question
solve for ( x ) and graph the solution on the number line below.
( 2x geq -4 )

answer attempt 1 out of 2
( < ) ( > ) ( leq ) ( geq ) or
inequality notation: (square)

number line:
(longleftarrow\begin{array}{cccccccccccc}-12 & -10 & -8 & -6 & -4 & -2 & 0 & 2 & 4 & 6 & 8 & 10 & 12end{array}longrightarrow)
submit answer

Explanation:

Step1: Divide both sides by 2

To solve for \( x \) in the inequality \( 2x \geq -4 \), we divide both sides of the inequality by 2. Since 2 is a positive number, the direction of the inequality sign remains the same.
\[
\frac{2x}{2} \geq \frac{-4}{2}
\]

Step2: Simplify both sides

Simplifying the left side gives \( x \) and simplifying the right side gives \( -2 \). So we have:
\[
x \geq -2
\]

Answer:

Inequality Notation: \( x \geq -2 \)

For the number line: We would place a closed circle (since the inequality is "greater than or equal to") at \( -2 \) and shade the line to the right of \( -2 \) to represent all values of \( x \) that satisfy the inequality.