129k views
0 votes
How can I solve this

How can I solve this-example-1
User Nate C
by
8.2k points

1 Answer

4 votes

(D)To represent an inequality on a graph, follow these steps:

Identify the type of inequality. Is it a greater than or equal to (> or =), less than or equal to (< or =), greater than (>), or less than (<) inequality?

Rewrite the inequality in slope-intercept form, y = mx + b, if it is not already in that form.

Graph the equation of the line y = mx + b on the coordinate plane using the y-intercept (b) and the slope (m).

Choose a test point that is not on the line. You can use any point that is convenient to you.

Substitute the x and y values of the test point into the original inequality. If the inequality is true, shade the region of the graph that contains the test point. If the inequality is false, shade the region of the graph that does not contain the test point.

If the inequality is greater than or equal to, shade the region above the line. If the inequality is less than or equal to, shade the region below the line. If the inequality is greater than, shade the region above the line but do not include the line. If the inequality is less than, shade the region below the line but do not include the line.

Label the shaded region with the inequality symbol.

Remember that the line itself is included in the graph if the inequality is greater than or equal to or less than or equal to, but not included if the inequality is greater than or less than.

User Anand Savjani
by
8.3k points