Determine whether the below given statement is true or false. If the statement is false, make the necessary changes to produce a true statement: All irrational numbers satisfy |x - 4| > 0.

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asked 2021-02-11

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asked 2021-03-09

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asked 2021-01-19

\(\displaystyle{Q}:{\quad\text{if}\quad}{\left\lbrace-\frac{{3}}{{4}},\sqrt{{3}},\frac{{3}}{\sqrt{{3}}},\sqrt{{\frac{{25}}{{5}}}},{20},{1.11222},{2.5015132},\ldots,\frac{{626}}{{262}}\right\rbrace}\),
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Answer 1

If it equals 0 then:
|x-4|=0
Or, x-4=0
Or, x=4
Note that 4 is a rational number. So, for other values of x (except 4) |x-4| will be greater than 0. So, All irrational numbers satisfy |x - 4| > 0. This statement is true.

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Determine whether the below given statement is true or false. If the statement is false, make the necessary changes to produce a true statement: All irrational numbers satisfy |x - 4| > 0.

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