Questions: Linear Equations and Inequalities Writing an inequality given a graph on the number line Write an inequality for the graph shown below. Use x for your variable.

Linear Equations and Inequalities Writing an inequality given a graph on the number line

Write an inequality for the graph shown below. Use x for your variable.

Transcript text: Linear Equations and Inequalities Writing an inequality given a graph on the number line Write an inequality for the graph shown below. Use $x$ for your variable.

Solution

Solution Steps

Step 1: Identify the Range of the Inequality

Observe the number line and identify the range of values that the variable $ x $ can take. The shaded region starts at -4 and ends at 3.

Step 2: Determine the Type of Inequality

Notice the type of circles at -4 and 3. The circle at -4 is closed, indicating that -4 is included in the range. The circle at 3 is open, indicating that 3 is not included in the range.

Step 3: Write the Inequality

Combine the information from the previous steps to write the inequality. Since -4 is included and 3 is not, the inequality is: \[ -4 \leq x < 3 \]