Which number is prime ? A : 8 B : 6 C : 13 D : 10

Mathematics

1 answer:

JulijaS [17]3 years ago

5 0

C : 13

8 is not a prime number since it's dividable by multiple numbers. For example 2(4), 1(8)

6 is not a prime number since it's dividable by 3(2), 1(6)

13 is a prime number because it's only dividable by itself.

10 is not a prime number because it can be divided by 5(2), 1(10)

So only 13 matches as a prime number.

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ANSWER

See attachment

EXPLANATION

The given inequality is

$|x| \: > \: \frac{3}{2}$

This implies that,

$x\: > \: \frac{3}{2} \: or \: - x\: > \: \frac{3}{2}$

Multiply both sides of the second inequality by -1 and reverse the inequality sign.

$x\: > \: \frac{3}{2} \: or \: x\: < \: - \frac{3}{2}$

The graphical solution to this inequality is shown in the attachment.