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HACTEHA [7]
3 years ago
7

Solve 3/4≤1/2+n. Graph the solution.

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0

The solution is n\geq\frac{1}{4}.

Solution:

Given expression:

$\frac{3}{4} \leq \frac{1}{2}+n

To solve this inequality.

$\frac{3}{4} \leq \frac{1}{2}+n

Subtract \frac{1}{2} on both sides of the inequality.

$\frac{3}{4}-\frac{1}{2} \leq \frac{1}{2}+n-\frac{1}{2}

$\frac{1}{4} \leq n

Switch the sides.

$n\geq\frac{1}{4}

The solution is n\geq\frac{1}{4}.

Now, graph the solution.

The solution of the graph is attached below.

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Thepotemich [5.8K]
y=2 x^{2} -10x \\ -3=2 x^{2} -10x \\ 2 x^{2} -10x+3=0 \\ x=\frac{-b \pm \sqrt{ b^{2} -4ac} }{2a}, \ where \ a=2, \ b=-10, \ c=3
Therefore,
x=\frac{-(-10) \pm \sqrt{ (-10)^{2} -(4 \times 2 \times 3)} }{2 
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}{4}  \\ =4.679 \ or \ 0.3206


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