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Crazy boy [7]
3 years ago
12

How do you graph a linear inequality in two variables

Mathematics
1 answer:
FrozenT [24]3 years ago
7 0
The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
Example:

Is (1, 2) a solution to the inequality
2x+3y>1
2times1+3times2>1
2+5>1
7>1
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If f(x) = x^3 – 10x^2 + 29x – 30 and f(6) = 0, then find all<br> of the zeros of f(x) algebraically.
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Step 1: 1

(((x3) - (2•5x2)) + 29x) - 30 = 0

Step 2 2.1 x3-10x2+29x-30 is not a perfect cube

Step 3 Factoring: x3-10x2+29x-30

Thoughtfully split the expression at hand into groups, each group having two terms :

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Group 2: -10x2+x3

Pull out from each group separately :

Group 1: (29x-30) • (1)
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