Well, you can replace the inequality with the equal sign, and draw the line (or curve, depending on the case) for the corresponding equation. The actual inequality will be either to one side or to one side of this line or curve. It may or may not include the actual line or curve.
With the equal sign (=).
If the equal sign in a linear equation in two variables is replaced with an inequality symbol, the result is a linear inequality in two variables. 3x-2y>7 x<-5
It is a linear inequality.
The inequality symbol doesn't change direction in this case.Note that that is the same as adding a positive number.Note also that if you MULTIPLY or DIVIDE by a negative number, then you need to change the direction of the inequality symbol.
An equality symbol such as =
john
With the equal sign (=).
When graphing a linear inequality, the first step is to replace the inequality symbol with an equal sign to graph the corresponding linear equation. This creates a boundary line, which can be solid (for ≤ or ≥) or dashed (for < or >) depending on whether the points on the line are included in the solution set. After graphing the line, you then determine which side of the line represents the solution set by testing a point (usually the origin if it's not on the line) to see if it satisfies the original inequality. Finally, shade the appropriate region to indicate the solutions to the inequality.
If the equal sign in a linear equation in two variables is replaced with an inequality symbol, the result is a linear inequality in two variables. 3x-2y>7 x<-5
It is a linear inequality.
Unless it's a fancy graphing calculator, you don't. When solving an inequality, you need to solve it as an equality, remaining mindful of the proper direction of the inequality symbol after each step.
A linear inequalty may be of the form a1x1 + a2x2 + ... + anxn < bwhere the ai and b are constants and the xi are variables. The inequality symbol can be <, >, ≤ or ≥.
If you want that as an inequality, you write:x <= -10 You can replace "<=" with the corresponding inequality symbol (less than or equal).
if you have y <= f(x), then graph the function y = f(x) with a solid line, then shade everything below that graph.
the divide symbol ---> :
The inequality symbol.
The inequality symbol doesn't change direction in this case.Note that that is the same as adding a positive number.Note also that if you MULTIPLY or DIVIDE by a negative number, then you need to change the direction of the inequality symbol.