How would you graph the inequality x > -5

If you are on a number line, draw an open small circle at x= -5, then a line to the right of -5 with an arrow on the line

If you graphing in the xy-plane, draw a dotted line at x = -5 and shade in the region to the right of that line

The region to the right of the x = -5 vertical line should be indicated as the solution region, by crosshatching, coloring or shading that region, or by blacking out the other region to the left of x=-5

See http://www.purplemath.com/modules/ineqgrph.htm for some ideas

To graph the inequality x > -5, you can follow these steps:

Step 1: Draw a number line
Begin by drawing a horizontal line and label it with numbers to represent the range of values you want to plot. For this inequality, we will consider values to the right of -5.

Step 2: Plot an open circle at -5
Since x is greater than -5 (x > -5), we do not include -5 itself in the solution. So, on the number line, plot an open circle (not filled) above the point -5.

Step 3: Shade to the right of -5
To indicate all the values greater than -5, shade the region to the right of the open circle. This shows all the possible solutions that satisfy the inequality x > -5.

Step 4: Label the graph (optional)
If required, you can label the shaded area with the inequality x > -5 to make it clear what the graph represents.

That's it! You have successfully graphed the inequality x > -5 on a number line.