john
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.
if you have y <= f(x), then graph the function y = f(x) with a solid line, then shade everything below that graph.
Always.
You divide as normal BUT you change the direction of the inequality symbol, so that < becomes > and conversely.
Flip it around
With the equal sign (=).
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.
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.
No you do not.