kaylab4u2
What a is the correct graph of the solution to the inequality -8 ≥ -5x + 2 > -38?
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2bornot2b
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-8-2 ≥ -5x > -38-2 =>-10 ≥ -5x > -40
=>2 ≥ x > 8
2bornot2b
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Here is the graph
tanusingh
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can someone explain d graph
2bornot2b
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@Tanusingh What exactly do you want explained?
2bornot2b
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The graph for a ≥ x ≥|dw:1327246099103:dw| b
2bornot2b
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I meant The graph for a ≥ x ≥b
2bornot2b
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Now the graph for a>x>b
|dw:1327246184415:dw|
2bornot2b
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Now the graph for a ≥ x >b
|dw:1327246223054:dw|
tanusingh
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SO THE WHITE DOTS MEAN THAT IT IS A OPEN INTERVAL?
tanusingh
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mevrett whats ur take?
2bornot2b
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Exactly !
tanusingh
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okay
2bornot2b
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@tanusingh did you get the explanation you wanted?
tanusingh
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well so inequalities are plotted by intervals?
2bornot2b
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I am not quite sure, what your question is. But I can at least say, that inequalities can be equivalently expressed as intervals, e.g
The inequality a≥x≥b is equivalent to [b,a]
The inequality a≥x>b is equivalent to (b,a]
and so on...
Christian679
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-8 \[\ge\] -5x + 2 > - 38
= -8 \[\ge\] -5x divide trough by five.
so -5x/5 = -8/5
= x \[\le\] 1.4
+2 > -38
= +2/2 > -38/2
= 1 > - 19
= x \[\le\] 1.4 + 1 > -19