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Verdich [7]
3 years ago
7

HELP ME PLEASE True or false: z=−5 is a solution to the inequality −2|z−3|<−20.

Mathematics
1 answer:
Dovator [93]3 years ago
7 0

<em><u>your </u></em><em><u>question</u></em><em><u>:</u></em><em><u> </u></em>

<em>True or false: z=−5 is a solution to the inequality −2|z−3|<−20.</em>

<em><u>answer:</u></em><em><u> </u></em>

<em>-</em><em>2</em><em>|</em><em>z-3|</em><em><</em><em>-</em><em>2</em><em>0</em>

<em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>. </em><em> </em><em> </em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em>

<em> </em><em> </em><em> </em><em>-</em><em>2</em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>-</em><em>2</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>|</em><em>z-3|</em><em><</em><em>1</em><em>0</em><em> </em>

<em>equation </em><em>1</em><em>:</em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>equation </em><em>2</em><em>:</em><em> </em>

<em>z-3<</em><em>1</em><em>0</em><em>. </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>z-3></em><em>-</em><em>1</em><em>0</em><em> </em>

z<13 z>-13

<em>So </em><em>false, </em><em>z=</em><em>-</em><em>5</em><em> </em><em>is </em><em>not </em><em>a </em><em>solution </em><em>to the </em><em>inequality</em><em>.</em>

<em>hope </em><em>this </em><em>helps, </em><em>have </em><em>a </em><em>great </em><em>day! </em><em>:</em><em>)</em>

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