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If |2z| – 1 ≥ 2, which of the following graphs could be a nu
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21 Jun 2017, 13:17
21 Jun 2017, 13:17
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If |2z| – 1 ≥ 2, which of the following graphs could be a number line representing all the possible values of z?
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Re: If |2z| – 1 ≥ 2, which of the following graphs could be a nu
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12 Oct 2017, 01:47
12 Oct 2017, 01:47
1
The equation is solved as
for x >= 0, \(2z-1\geq 2\) i.e. \(z\geq \frac{3}{2}\)
for x <= 0, \(-2z-1\geq 2\) i.e. \(z\leq -\frac{3}{2}\)
Thus, the value of x are \(x\leq -\frac{3}{2} and x \geq \frac{3}{2}\).
The line number is A because 3/2 is greater than 1 and -3/2 is less than -1
for x >= 0, \(2z-1\geq 2\) i.e. \(z\geq \frac{3}{2}\)
for x <= 0, \(-2z-1\geq 2\) i.e. \(z\leq -\frac{3}{2}\)
Thus, the value of x are \(x\leq -\frac{3}{2} and x \geq \frac{3}{2}\).
The line number is A because 3/2 is greater than 1 and -3/2 is less than -1
Re: If |2z| – 1 ≥ 2, which of the following graphs could be a nu
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12 Oct 2017, 09:19
12 Oct 2017, 09:19
1
Solutions :-
There Can be multiple ways to think over this problem but whenever we are finding answer from the given choices try to eliminate the wrong choice instead of finding the right one ( this is very useful in most of the cases )
In above problem, from the given choices we need to check the value for z=1 or -1 as for both |z| = 1
for z=1
equation is "1>=2"
which is not correct
so |z| should be greater than 1
or z should be greater than 1 or less than -1
if we check the choices, Choice "B,C,D,E" is eliminated as all are wrong so we are left with only Choice "A"
Answer :- "A"
There Can be multiple ways to think over this problem but whenever we are finding answer from the given choices try to eliminate the wrong choice instead of finding the right one ( this is very useful in most of the cases )
In above problem, from the given choices we need to check the value for z=1 or -1 as for both |z| = 1
for z=1
equation is "1>=2"
which is not correct
so |z| should be greater than 1
or z should be greater than 1 or less than -1
if we check the choices, Choice "B,C,D,E" is eliminated as all are wrong so we are left with only Choice "A"
Answer :- "A"
