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Basic linear Inequalities (single variable) yellowcomic.com Topical rundown | JrMath outline | MathBits" Teacher sources Terms of Use call Person: Donna Roberts
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Not all statements in mathematics involve managing equal quantities. Sometimes, we might only recognize that other is "greater than" a particular value, or "less 보다 or same to" another value. These cases are described as inequalities (because they are not just "equal").

Inequality Notations: (see other notation forms at Notations because that Solutions)
a
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b ; a is greater than or same to b
a
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b ; a is much less than or equal to b
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If you can solve a straight equation, you have the right to solve a linear inequality. The process is the same, v one vital exception ...

You are watching: Is less than or equal to an open circle


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... As soon as you multiply (or divide) an inequality by a negative value, you must readjust the direction the the inequality.
We know that 3 is much less than 7. Now, allows multiply both political parties by -1. Research the outcomes (the products).

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top top a number line, -3 is come the ideal of -7, making -3 better than -7.
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-3 > -7 We need to reverse the direction that the inequality, when we main point by a negative value, in order to preserve a "true" statement.
When graphing a straight inequality top top a number line, usage an open circle because that "less than" or "greater than", and also a closed circle because that "less than or equal to" or "greater than or equal to".

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To CHECK one inequaltiy, that is not feasible to test every value. So inspect a value in every shaded region to view if that is TRUE. Then inspect a value in every non-shaded region to see if that is FALSE.

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The solution collection for this difficulty will it is in all values that room graphed come the right the -3, and also including -3.
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CHECK: A number in the shaded an ar = TRUE. A number in the non-shaded area = FALSE. Choose 0: 0 > -3 TRUE Pixk -4: -4 > -3 FALSE
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Graph the solution collection of: x