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When doing algebra how do you know what region to shade?
Given an inequality, you need to decide whether you are required to shade the region in it is TRUE or FALSE. If you are given several inequalities, you would usually be required to shade the regions where they are false because shading is additive [shading + shading = shading] and you will be left with the unshaded region where all the inequalities are true.Next, select any point which is not of the line or curve for the inequality. Plug its coordinates into the inequality: it the result FALSE? If so, shade the region (relative to the line or curve) in which the point is found. If substituting the coordinates gives an inequality which is TRUE then shade the regions which is the other side of the line or curve.
How can you graph linear inequalities?
First put the inequality into the form ax + b < 0 or ax + b > 0 Next graph the equality y = ax + b which will be straight line. For the < case, shade the area below the line. For the > case , shade above the line. For <= or >= also shade the line itself.
What are the two rules for inequalities which do not occur in equations?
Inequalities are not reflexive. Inequalities are not commutative.
How do you know where to shade on a graph?
If you mean with inequalities: 1. Change the inequality into an equation.2. Solve the equation for the initial line.3. Look back to the inequality.a.) greater than or equal to-shade above or to the left of your line,this line should be solidb.) greater than-shade above or to the left of your line,this line should not be solidc.) less than or equal to-shade below or to the right of your line,this line should be solidd.) less than-shade below or to the right of your line,this line should not be solidHope this helps.
Do solutions to systems of linear inequalities satisfy both inequalities?
Yes.
