Match the inequality to its graph y/2<-3
The correct graph for the inequality y/2 < -3 is:
Inequality: y/2 < -3
Graph:
5 ________________
4 ________________
3 ________________
2 ________________
1 ________________
0 ________________
-1 ________________
-2 ________________
-3----|________________
-3 -2 -1 0 1 2 3
To match the inequality y/2 < -3 with its graph, we can follow these steps:
Step 1: Rewrite the inequality in slope-intercept form.
The given inequality is y/2 < -3. To rewrite it in slope-intercept form, we can multiply both sides of the inequality by 2 to isolate y:
y < -6.
Step 2: Identify the line.
Since y is less than a constant (-6), we have a horizontal line parallel to the x-axis passing through y = -6.
Step 3: Determine the shading.
Since y is less than -6, the shading will be below the line y = -6.
Step 4: Plot the line and the shading.
Graph the line y = -6 and shade the area below it.
Here is what the graph looks like:
To match the inequality to its graph, we can start by simplifying the given inequality.
Given inequality: y/2 < -3
To isolate y, we can multiply both sides of the inequality by 2. However, when we multiply or divide both sides of an inequality by a negative number, we need to flip the direction of the inequality. So, we have:
y < -6
Now that we have simplified the inequality, we can sketch its graph.
To represent y < -6 on a graph, we need to draw a dashed horizontal line at y = -6. Since the inequality is strict (y < -6), we use a dashed line instead of a solid line.
Next, we shade the region below the dashed line to indicate that all y-values below -6 satisfy the inequality.
The final graph should look like a horizontal dashed line parallel to the x-axis, with shading below the line.
I hope this explanation helps! If you have any further questions, please, let me know!