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ProfessorIn solving inequalities, you use many of the same steps as in equations. However, a few additional considerations apply. For example, care must be take when multiplying or dividing the inequality - if you multiply with a negative number, the direction of the inequality is reversed.
Example: -x < -2x + 15 -3x < 15 x > -5 Note that the "less than" was replaced with a "greater than" in the last step!
When multiplying or dividing by a variable (or by a variable expression), you may have to separately consider both cases: that the variable is positive, and that it is negative.
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What does it mean by solving linear systems?
Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.
Explain how solving inequalities is alike and different from solving equations?
Most of the steps are the same. The main difference is that if you multiply or divide both sides of an inequality by a NEGATIVE number, you must change the direction of the inequality sign (for example, change "less than" to "greater than").
What are the differences between solving equations and solving inequalities?
One important difference is that if you multiply or divide both sides by a negative number, you need to invert the inequality sign. Example: -2x > 5 Dividing both sides by (-2): x < -2.5 Note that the greater-than sign changed to a less-than sign, because of the multiplication by a negative number.
What is the difference between a compound inequality using the word and and compound inequality using the word or?
The difference between them is that when solving an "and" inequality you are comparing two inequalities and when you are solving an "or" inequality you dont compare, you only use one inequality example of "and" . 2<x+3<7 example of "or" . 4<d or m<1
What is a method for solving a system of linear equations in which you multiply one or both equations by a number to get rid of a variable term?
It is called solving by elimination.
